## [1201.2113] Is J enough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations

Authors: R. O&#x27;Shaughnessy (1), J. Healy (2), L. London (2), Z. Meeks (2), D. Shoemaker (2) ((1) Center for Gravitation and Cosmology, University of Wisconsin-Milwaukee, (2) Center for Relativistic Astrophysics, Georgia Tech)

Date: 10 Jan 2012

Abstract: The gravitational wave signature emitted from a merging binary depends on the orientation of an observer relative to the binary. Previous studies suggest that emission along the total initial or total final angular momenta leads to both the strongest and simplest signal from a precessing compact binary. In this paper we describe a concrete counterexample: a binary with $m_1/m_2=4$, $a_1=0.6 \hat{x} = -a_2$, placed in orbit in the x,y plane. We extract the gravitational wave emission along several proposed emission directions, including the initial (Newtonian) orbital angular momentum; the final (~ initial) total angular momentum; and the dominant principal axis of $<L_a L_b>_M$. Using several diagnostics, we show that the suggested preferred directions are not representative. For example, only for a handful of other directions (< 15%) will the gravitational wave signal have comparable shape to the one extracted along each of these fiducial directions, as measured by a generalized overlap (>0.95). We conclude that the information available in just one direction (or mode) does not adequately encode the complexity of orientation-dependent emission for even short signals from merging black hole binaries. Future investigations of precessing, unequal-mass binaries should carefully explore and model their orientation-dependent emission.

#### Jan 17, 2012

1201.2113 (/preprints)
2012-01-17, 14:48