Authors: Michele Levi
Date: 11 Feb 2008
Abstract: We use recently proposed Kaluza-Klein (KK) reduction within an Effective Field Theory (EFT) approach to calculate the next to leading order gravitational spin-spin interaction between two spinning compact objects. It is proven here that to this order in this interaction the reduced KK action within the stationary approximation is sufficient for describing the gravitational interaction, and that it simplifies calculation substantially. We also find here that the gravito-magnetic vector field defined within the KK decomposition of the metric mostly dominates the mediation of the interaction. Our result coincides with that calculated with the ADM Hamiltonian formalism thus demonstrating clearly the equivalence of the ADM and the EFT approaches. Here we explain the origin of the seemingly discrepant but equivalent result previously derived within the EFT approach and fully reconcile the two approaches.
© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis