[1009.0521] Analytic modelling of tidal effects in the relativistic inspiral of binary neutron stars

Authors: Luca Baiotti, Thibault Damour, Bruno Giacomazzo, Alessandro Nagar, Luciano Rezzolla

Date: 2 Sep 2010

Abstract: To detect the gravitational-wave signal from binary neutron stars and extract information about the equation of state of matter at nuclear density, it is necessary to match the signal with a bank of accurate templates. We have performed the longest (to date) general-relativistic simulations of binary neutron stars with different compactnesses and used them to constrain a tidal extension of the effective-one-body model so that it reproduces the numerical waveforms accurately and essentially up to the merger. The typical errors in the phase over the $\simeq 22$ gravitational-wave cycles are $\Delta \phi\simeq \pm 0.24$ rad, thus with relative phase errors $\Delta \phi/\phi \simeq 0.2%$. We also show that with a single choice of parameters, the effective-one-body approach is able to reproduce all of the numerically-computed phase evolutions, in contrast with what found when adopting a tidally corrected post-Newtonian Taylor-T4 expansion.

abs pdf

Sep 02, 2010

1009.0521 (/preprints)
2010-09-02, 23:09 [edit]

[1009.0292] Extreme-Mass-Ratio-Black-Hole-Binary Evolutions with Numerical Relativity

Authors: Carlos O. Lousto, Yosef Zlochower

Date: 1 Sep 2010

Abstract: We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal choice of the mesh refinement (plus large computational resources). We achieve a convergent set of results for simulations starting with a small nonspinning black hole just outside the ISCO that then performs over two orbits before plunging into the 100 times more massive black hole. We compute the gravitational energy and momenta radiated as well as the final remnant parameters and compare these quantities with the corresponding perturbative estimates. The results show a close agreement. We briefly discuss the relevance of this simulations for Advanced LIGO, third-generation ground based detectors, and LISA observations, and self-force computations.

abs pdf

Sep 02, 2010

1009.0292 (/preprints)
2010-09-02, 23:09 [edit]

[1009.0206] Determination of Dark Energy by the Einstein Telescope: Comparing with CMB, BAO and SNIa Observations

Authors: W. Zhao, C. Van Den Broeck, D. Baskaran, B. S. Sathyaprakash

Date: 1 Sep 2010

Abstract: A design study is currently in progress for a third generation gravitational-wave (GW) detector called Einstein Telescope (ET). An important kind of source for ET will be the inspiral and merger of binary neutron stars (BNS) up to $z \sim 2$. If BNS mergers are the progenitors of short-hard $\gamma$-ray bursts, then some fraction of them will be seen both electromagnetically and through GW, so that the luminosity distance and the redshift of the source can be determined separately. An important property of these ‘standard sirens’ is that they are \emph{self-calibrating}: the luminosity distance can be inferred directly from the GW signal, with no need for a cosmic distance ladder. Thus, standard sirens will provide a powerful independent check of the $\Lambda$CDM model. In previous work, estimates were made of how well ET would be able to measure a subset of the cosmological parameters (such as the dark energy parameter $w_0$) it will have access to, assuming that the others had been determined to great accuracy by alternative means. Here we perform a more careful analysis by explicitly using the potential Planck CMB data as prior information for these other parameters. We find that ET will be able to constrain $w_0$ and $w_a$ with accuracies $\Delta w_0 = 0.096$ and $\Delta w_a = 0.296$, respectively. These results are compared with projected accuracies for the JDEM Baryon Acoustic Oscillations (BAO) project and the SNAP Type Ia supernovae (SNIa) observations. Comparing with the combination of the future CMB(Planck)+BAO(JDEM)+SNIa(SNAP) projects, the contribution of GW standard sirens can decrease the uncertainties on $w_0$ and $w_a$ by $\sim 6%$.

abs pdf

Sep 01, 2010

1009.0206 (/preprints)
2010-09-01, 23:32 [edit]

[1009.0157] Radiatively inefficient accretion flows induced by gravitational-wave emission before massive black hole coalescence

Authors: Kimitake Hayasaki (Department Astronomy, Kyoto University)

Date: 1 Sep 2010

Abstract: We study an accretion flow during the gravitational-wave driven evolution of binary massive black holes. After the binary orbit decays due to interacting with a massive circumbinary disk, the binary is decoupled from the circumbinary disk because the orbital-decay timescale due to emission of gravitational wave becomes shorter than the viscous timescale evaluated at the inner edge of circumbinary disk. During the subsequent evolution, the accretion disk, which is truncated at the tidal radius because of the tidal torque, also shrinks as the orbital decay. Assuming that the disk mass changed by this process is all accreted, the whole region of the disk completely becomes radiatively inefficient when the semi-major axis is several hundred Schwarzschild radii. The disk temperature can become comparable with the virial temperature there in spite of a low disk luminosity. The prompt high-energy emission is hence expected long before black hole coalescence as well as the gravitational wave signals. Binary massive black holes finally merge without accretion disks.

abs pdf

Sep 01, 2010

1009.0157 (/preprints)
2010-09-01, 23:32 [edit]

[1009.0018] A Tale of Two Jets

Authors: Nicolas Yunes

Date: 31 Aug 2010

Abstract: One of the most interesting high-energy, astrophysical phenomena are relativistic jets emitted from highly localized sky location. Such jets are common in Nature, observed to high redshift and in a range of wavelengths. Their precise generation mechanism remains a bit of a mystery, but they are generically believed to be powered by black holes. We here summarize the recent simulations of Palenzuela, Lehner and Liebling that shed light on the jet generation mechanism. These authors studied the merger of two non-spinning black holes in the presence of a magnetic field, perpendicular to the orbital plane and anchored by a circumbinary accretion disk, in the "force-free" approximation. They found that each black hole essentially acts as a "straw" that stirs the magnetic field lines around the center of mass as the black holes inspiral. The twisting of the magnetic field lines then generates jets around each black hole, even though these are not spinning. Their simulations show the formation of such a dual jet geometry and how it transitions to a single jet one, as the black holes merge due to gravitational wave emission.

abs pdf

Sep 01, 2010

1009.0018 (/preprints)
2010-09-01, 23:32 [edit]

[1008.5369] Tidal breakup of binary stars at the Galactic Center. II. Hydrodynamic simulations

Authors: Fabio Antonini, James C. Lombardi, David Merritt

Date: 31 Aug 2010

Abstract: In Paper I, we followed the evolution of binary stars as they orbited near the supermassive black hole (SMBH) at the Galactic center, noting the cases in which the two stars would come close enough together to collide. In this paper we replace the point-mass stars by fluid realizations, and use a smoothed-particle hydrodynamics (SPH) code to follow the close interactions. We model the binary components as main-sequence stars with initial masses of 1, 3 and 6 Solar masses, and with chemical composition profiles taken from stellar evolution codes. Outcomes of the close interactions include mergers, collisions that leave both stars intact, and ejection of one star at high velocity accompanied by capture of the other star into a tight orbit around the SMBH. For the first time, we follow the evolution of the collision products for many ($\gtrsim 100$) orbits around the SMBH. Stars that are initially too small to be tidally disrupted by the SMBH can be puffed up by close encounters or collisions, with the result that tidal stripping occurs in subsequent periapse passages. In these cases, mass loss occurs episodically, sometimes for hundreds of orbits before the star is completely disrupted. Repeated tidal flares, of either increasing or decreasing intensity, are a predicted consequence. In collisions involving a low-mass and a high-mass star, the merger product acquires a high core hydrogen abundance from the smaller star, effectively resetting the nuclear evolution "clock" to a younger age. Elements like Li, Be and B that can exist only in the outermost envelope of a star are severely depleted due to envelope ejection during collisions and due to tidal forces from the SMBH. In the absence of collisions, tidal spin-up of stars is only important in a narrow range of periapse distances, $r_t/2\lesssim r_per \lesssim r_t$ with $r_t$ the tidal disruption radius.

abs pdf

Sep 01, 2010

1008.5369 (/preprints)
2010-09-01, 08:40 [edit]

[1008.5280] Bayesian parameter estimation in the second LISA Pathfinder Mock Data Challenge

Authors: M. Nofrarias, C. Röver, M. Hewitson, A. Monsky, G. Heinzel, K. Danzmann, L. Ferraioli, M. Hueller, S. Vitale

Date: 31 Aug 2010

Abstract: A main scientific output of the LISA Pathfinder mission is to provide a noise model that can be extended to the future gravitational wave observatory, LISA. The success of the mission depends thus upon a deep understanding of the instrument, especially the ability to correctly determine the parameters of the underlying noise model. In this work we estimate the parameters of a simplified model of the LISA Technology Package (LTP) instrument. We describe the LTP by means of a closed-loop model that is used to generate the data, both injected signals and noise. Then, parameters are estimated using a Bayesian framework and it is shown that this method reaches the optimal attainable error, the Cramer-Rao bound. We also address an important issue for the mission: how to efficiently combine the results of different experiments to obtain a unique set of parameters describing the instrument.

abs pdf

Sep 01, 2010

1008.5280 (/preprints)
2010-09-01, 08:40 [edit]

[1008.5159] Test bodies and naked singularities: is the self-force the cosmic censor?

Authors: Enrico Barausse, Vitor Cardoso, Gaurav Khanna

Date: 30 Aug 2010

Abstract: It has been suggested by Jacobson and Sotiriou that rotating black holes could be spun-up past the extremal limit by the capture of non-spinning test bodies, which would represent a violation of the Cosmic Censorship Conjecture in four-dimensional, asymptotically flat spacetimes. This analysis, however, neglected radiative and self-force effects. Here we show that for some of the trajectories that can give rise to naked singularities, radiative effects can be neglected. However, for these orbits the conservative part of the self-force is important, and can potentially prevent the appearance of naked singularities.

abs pdf

Sep 01, 2010

1008.5159 (/preprints)
2010-09-01, 08:39 [edit]

[1008.4997] The general theory of porcupines, perfect and imperfect

Authors: Latham Boyle (Perimeter Institute)

Date: 30 Aug 2010

Abstract: Porcupines are networks of gravitational wave detectors in which the detectors and the distances between them are short relative to the gravitational wavelengths of interest. Perfect porcupines are special configurations whose sensitivity to a gravitational plane wave is independent of the propagation direction or polarization of the wave. I develop the theory of porcupines, including the optimal estimator \hat{h}ˆ{ij} for the gravitational wave field; useful formulae for the spin-averaged and rotationally-averaged SNRˆ{2}; and a simple derivation of the properties of perfect porcupines. I apply these results to the interesting class of ‘simple’ porcupines, and mention some open problems.

abs pdf

Aug 31, 2010

1008.4997 (/preprints)
2010-08-31, 00:11 [edit]

[1008.5032] Relativistic spin-precession in binary pulsars

Authors: Michael Kramer (MPI fuer Radioastronomie, Germany, Jodrell Bank Centre for Astrophsyics, University of Manchester, UK)

Date: 30 Aug 2010

Abstract: After the first prediction to expect geodetic precession in binary pulsars in 1974, made immediately after the discovery of a pulsar with a companion, the effects of relativistic spin precession have now been detected in all binary systems where the magnitude of the precession rate is expected to be sufficiently high. Moreover, the first quantitative test leads to the only available constraints for spin-orbit coupling of a strongly self-gravitating body for general relativity (GR) and alternative theories of gravity. The current results are consistent with the predictions of GR, proving the effacement principle of spinning bodies. Beyond tests of theories of gravity, relativistic spin precession has also become a useful tool to perform beam tomography of the pulsar emission beam, allowing to infer the unknown beam structure, and to probe the physics of the core collapse of massive stars.

abs pdf

Aug 31, 2010

1008.5032 (/preprints)
2010-08-31, 00:11 [edit]

[1008.4622] Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods

Authors: Marc Favata

Date: 27 Aug 2010

Abstract: [abridged] Barack & Sago have recently computed the shift of the innermost stable circular orbit (ISCO) due to the conservative self-force that arises from the finite-mass of an orbiting test-particle. This is one of the first concrete results of the self-force program, and provides an exact point of comparison with approximate post-Newtonian (PN) computations of the ISCO. Here this exact ISCO shift is compared with nearly all known PN-based methods. These include both "non-resummed" and "resummed" approaches (the latter reproduce the test-particle limit by construction). The best agreement with the exact result is found from effective-one-body (EOB) calculations that are fit to numerical relativity simulations. However, if one considers uncalibrated methods based only on the currently-known 3PN-order conservative dynamics, the best agreement is found from the gauge-invariant ISCO condition of Blanchet and Iyer (2003). This method reproduces the exact test-particle limit without any resummation. A comparison of PN methods with the equal-mass ISCO is also performed. The results of this study suggest that the EOB approach — while exactly incorporating the conservative test-particle dynamics — does not (in the absence of calibration) incorporate conservative self-force effects more accurately than standard PN methods. I also consider how the conservative self-force ISCO shift, combined with numerical relativity computations of the ISCO, can be used to constrain our knowledge of (1) the EOB effective metric, (2) phenomenological inspiral-merger-ringdown templates, and (3) 4PN and 5PN order terms in the PN orbital energy. These constraints could help in constructing better gravitational-wave templates. Lastly, I suggest a new method to calibrate unknown PN-terms in inspiral templates using "low-cost" numerical-relativity calculations.

abs pdf

Aug 29, 2010

1008.4622 (/preprints)
2010-08-29, 23:44 [edit]

[1008.4360] Intermediate-mass-ratio black hole binaries: intertwining numerical and perturbative techniques

Authors: Carlos O. Lousto, Hiroyuki Nakano, Yosef Zlochower, Manuela Campanelli

Date: 25 Aug 2010

Abstract: We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate mass ratio (IMR) black-hole-binary (BHB) inspirals and mergers. We perform a series of full numerical simulations of nonspinning black holes with mass ratios q=1/10 and q=1/15 from different initial separations and for different finite difference resolutions. The highest resolution runs reach phase accuracies with errors <0.05 radians when the gravitational wave frequency is 0.2/M. In order to perform those full numerical runs, we adapted the gauge of the moving punctures approach with a variable damping term for the shift. We also derive an extrapolation (to infinite radius) formula for the waveform extracted at finite radius. For the perturbative evolutions we use the full numerical tracks, transformed into the Schwarzschild gauge, in the source terms of the Regge-Wheller-Zerilli Schwarzschild perturbations formalism. We then extend this perturbative formalism to take into account small intrinsic spins of the large black hole, and validate it by computing the quasinormal mode (QNM) frequencies, where we find good agreement for spins |a/M|<0.3. Including the final spins improves the overlap functions when comparing full numerical and perturbative waveforms, reaching 99.5% for the leading (l,m)=(2,2) and (3,3) modes, and 98.3% for the nonleading (2,1) mode in the q=1/10 case, which includes 8 orbits before merger. For the q=1/15 case, we obtain overlaps near 99.7% for all three modes. We discuss the modeling of the full inspiral and merger based on a combined matching of Post-Newtonian, Full Numerical, and Geodesic trajectories.

abs pdf

Aug 26, 2010

1008.4360 (/preprints)
2010-08-26, 21:10 [edit]

[1008.4477] Croatian Black Hole School 2010 lecture notes on IMBHs in GCs

Authors: Mario Pasquato

Date: 26 Aug 2010

Abstract: Black holes are fascinating objects. As a class of solutions to the Einstein equations they have been studied a great deal, yielding a wealth of theoretical results. But do they really exist? What do astronomers really mean when they claim to have observational evidence of their existence? To answer these questions, I will focus on a particular range of black-hole masses, approximately from 100 to 10000 solar masses. Black holes of this size are named Intermediate Mass Black Holes (IMBHs) and their existence is still heavily disputed, so they will be perfect for illustrating the observational challenges faced by a black hole hunter

abs pdf

Aug 26, 2010

1008.4477 (/preprints)
2010-08-26, 21:10 [edit]

[1008.3941] Gravitational wave background from sub-luminous GRBs: prospects for second and third generation detectors

Authors: E. Howell, T. Regimbau, A. Corsi, D. Coward, R. Burman

Date: 24 Aug 2010

Abstract: We assess the detection prospects of a gravitational wave background associated with sub-luminous gamma-ray bursts (SL-GRBs). We assume that the central engines of a significant proportion of these bursts are provided by newly born magnetars and consider two plausible GW emission mechanisms. Firstly, the deformation-induced triaxial GW emission from a newly born magnetar. Secondly, the onset of a secular bar-mode instability, associated with the long lived plateau observed in the X-ray afterglows of many gamma-ray bursts (Corsi & Meszaros 2009a). With regards to detectability, we find that the onset of a secular instability is the most optimistic scenario: under the hypothesis that SL-GRBs associated with secularly unstable magnetars occur at a rate of (48; 80)Gpcˆ{-3}yrˆ{-1} or greater, cross-correlation of data from two Einstein Telescopes (ETs) could detect the GW background associated to this signal with a signal-to-noise ratio of 3 or greater after 1 year of observation. Assuming neutron star spindown results purely from triaxial GW emissions, we find that rates of around (130;350)Gpcˆ{-3}yrˆ{-1} will be required by ET to detect the resulting GW background. We show that a background signal from secular instabilities could potentially mask a primordial GW background signal in the frequency range where ET is most sen- sitive. Finally, we show how accounting for cosmic metallicity evolution can increase the predicted signal-to-noise ratio for background signals associated with SL-GRBs.

abs pdf

Aug 24, 2010

1008.3941 (/preprints)
2010-08-24, 20:56 [edit]

[1008.4009] Head-on infall of two compact objects: Third post-Newtonian Energy Flux

Authors: Chandra Kant Mishra, Bala R. Iyer

Date: 24 Aug 2010

Abstract: Head-on infall of two compact objects with arbitrary mass ratio is investigated using the multipolar post-Minkowskian approximation method. At the third post-Newtonian order the energy flux, in addition to the instantaneous contributions, also includes hereditary contributions consisting of the gravitational-wave tails, tails-of-tails and the tail-squared terms. The results are given both for infall from infinity and also for infall from a finite distance. These analytical expressions should be useful for the comparison with the high accuracy numerical relativity results within the limit in which post-Newtonian approximations are valid.

abs pdf

Aug 24, 2010

1008.4009 (/preprints)
2010-08-24, 20:56 [edit]

[0908.2356] Triangulation of gravitational wave sources with a network of detectors

Authors: Stephen Fairhurst

Date: 17 Aug 2009

Abstract: There is significant benefit to be gained by pursuing multi-messenger astronomy with gravitational wave and electromagnetic observations. In order to undertake electromagnetic follow-ups of gravitational wave signals, it will be necessary to accurately localize them in the sky. Since gravitational wave detectors are not inherently pointing instruments, localization will occur primarily through triangulation with a network of detectors. We investigate the expected timing accuracy for observed signals and the consequences for localization. In addition, we discuss the effect of systematic uncertainties in the waveform and calibration of the instruments on the localization of sources. We provide illustrative results of timing and localization accuracy as well as systematic effects for coalescing binary waveforms.

abs pdf

Aug 23, 2010

0908.2356 (/preprints)
2010-08-23, 16:14 [edit]

[1008.3324] Gravitational Radiations from a Spinning Compact Object circling a Supermassive Kerr Black Hole

Authors: Wen-Biao Han

Date: 19 Aug 2010

Abstract: The gravitational waves and energy radiations from a spinning compact object with stellar mass in a circular orbit in the equatorial plane of a supermassive Kerr black hole are investigated in this paper. The effect how the spin acts on energy and angular moment fluxes is discussed in detail. The calculation results indicate that the spin of small body should be considered in waveform-template production for the upcoming gravitational wave detections. It is clear that when the direction of spin axes is as same as the orbitally angular momentum (‘positive’ spin), spin can decrease the energy fluxes which radiate to infinity. For anti-direction spin (‘negative’), the energy fluxes to infinity be enlarged. And the relation between fluxes (both infinity and horizon) and spin looks like a quadratic function. From frequency shift due to spin, we estimate the wave-phase accumulation during inspiralling process of the particle. We find that the time of particle inspiral into the black hole is longer for ‘positive’ spin and shorter for ‘negative’ comparing with non-spinning particle. Especially, for extreme spin value, the energy radiation near the horizon of the extreme Kerr black hole is much more than the non-spinning one. And consequently, the maximum binging energy of the extreme spinning particle is much bigger than the non-spinning particle.

abs pdf

Aug 20, 2010

1008.3324 (/preprints)
2010-08-20, 08:30 [edit]

[1008.3203] A Simple Pendulum Determination of the Gravitational Constant

Authors: Harold V. Parks, James E. Faller

Date: 19 Aug 2010

Abstract: We determined the Newtonian Constant of Gravitation G by interferometrically measuring the change in spacing between two free-hanging pendulum masses caused by the gravitational field from large tungsten source masses. We find a value for G of (6.672 34 +/- 0.000 14) x 10ˆ-11 mˆ3 kgˆ-1 sˆ-2. This value is in good agreement with the 1986 Committee on Data for Science and Technology (CODATA) value of (6.672 59 +/- 0.000 85) x 10ˆ-11 mˆ3 kgˆ-1 sˆ-2 [Rev. Mod. Phys. 59, 1121 (1987)] but differs from some more recent determinations as well as the latest CODATA recommendation of (6.674 28 +/- 0.000 67) x 10ˆ-11 mˆ3 kgˆ-1 sˆ-2 [Rev. Mod. Phys. 80, 633 (2008)].

abs pdf

Aug 20, 2010

1008.3203 (/preprints)
2010-08-20, 08:30 [edit]

[1008.2961] Length requirements for numerical-relativity waveforms

Authors: Mark Hannam, Sascha Husa, Frank Ohme, P. Ajith

Date: 17 Aug 2010

Abstract: One way to produce complete inspiral-merger-ringdown gravitational waveforms from black-hole-binary systems is to connect post-Newtonian (PN) and numerical-relativity (NR) results to create ‘hybrid’ waveforms. Hybrid waveforms are central to the construction of some phenomenological models for GW search templates, and for tests of GW search pipelines. The dominant error source in hybrid waveforms arises from the PN contribution, and can be reduced by increasing the number of NR GW cycles that are included in the hybrid. Hybrid waveforms are considered sufficiently accurate for GW detection if their mismatch error is below 3% (i.e., a fitting factor about 0.97). We address the question of the length requirements of NR waveforms such that the final hybrid waveforms meet this requirement, considering nonspinning binaries with q = M_2/M_1 \in [1,4] and equal-mass binaries with \chi = S_i/M_iˆ2 \in [-0.5,0.5]. We conclude that for the cases we study simulations must contain between three (in the equal-mass nonspinning case) and ten (the \chi = 0.5 case) orbits before merger, but there is also evidence that these are the regions of parameter space for which the least number of cycles will be needed.

abs pdf

Aug 18, 2010

1008.2961 (/preprints)
2010-08-18, 18:24 [edit]

[1008.2561] Detecting massive gravitons using pulsar timing arrays

Authors: Kejia Lee, Fredrick A. Jenet, Richard H. Price, Norbert Wex, Michael Kramer

Date: 16 Aug 2010

Abstract: abbreviated:
Massive gravitons are features of some alternatives to general relativity. This has motivated experiments and observations that, so far, have been consistent with the zero mass graviton of general relativity, but further tests will be valuable. A basis for new tests may be the high sensitivity gravitational wave experiments that are now being performed, and the higher sensitivity experiments that are being planned. In these experiments it should be feasible to detect low levels of dispersion due to nonzero graviton mass. One of the most promising techniques for such a detection may be the pulsar timing program that is sensitive to nano-Hertz gravitational waves.
Here we present some details of such a detection scheme. The pulsar timing response to a gravitational wave background with the massive graviton is calculated, and the algorithm to detect the massive graviton is presented. We conclude that, with $90\%$ probability, massles gravitons can be distinguished from gravitons heavier than $3\times 10ˆ{-22}$\,eV (Compton wave length $\lambda_{\rm g}=4.1 \times 10ˆ{12}$ km), if biweekly observation of 60 pulsars are performed for 5 years with pulsar RMS timing accuracy of 100\,ns. If 60 pulsars are observed for 10 years with the same accuracy, the detectable graviton mass is reduced to $5\times 10ˆ{-23}$\,eV ($\lambda_{\rm g}=2.5 \times 10ˆ{13}$ km); for 5-year observations of 100 or 300 pulsars, the sensitivity is respectively $2.5\times 10ˆ{-22}$ ($\lambda_{\rm g}=5.0\times 10ˆ{12}$ km) and $10ˆ{-22}$ eV ($\lambda_{\rm g}=1.2\times 10ˆ{13}$ km). Finally, a 10-year observation of 300 pulsars with 100\,ns timing accuracy would probe graviton masses down to $3\times 10ˆ{-23}$\,eV ($\lambda_{\rm g}=4.1\times 10ˆ{13}$ km).

abs pdf

Aug 16, 2010

1008.2561 (/preprints)
2010-08-16, 18:43 [edit]

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