Multipole moments as a tool to infer from gravitational waves the geometry around an axisymmetric body
AIP Conf. Proc. -- November 3, 2006 -- Volume 861, pp. 756-761
ALBERT EINSTEIN CENTURY INTERNATIONAL CONFERENCE;
doi:10.1063/1.2399654
Issue Date: 3 November 2006
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A binary system, composed of a compact object orbiting around a massive central body, will emit gravitational waves which will depend on the central body's spacetime geometry. We expect that the gravitational wave observables will somehow "encode" the information about the spacetime structure. On the other hand, it has been known for some time that the geometry around an axisymmetric body can be described by its (Geroch-Hansen) multipole moments. Therefore one can speculate that using the multipole moments can prove to be a helpful tool for extracting this information. We will try to demonstrate this in this talk, following the procedure described by [F. D. Ryan, Phys. Rev. D 52 5707 (1995)] and [T. P. Sotiriou and T. A. Apostolatos, Phys. Rev. D 71 044005 (2005)]. ©2006 American Institute of Physics
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