Regularization of the second-order gravitational perturbations produced by a compact object

Details Regularization of the second-order gravitational perturbations produced by a compact object Regularization of the second-order gravitational perturbations produced by a compact object

2005-08-11

arxiv.org/abs/gr-qc/0508050v3

Phys.Rev. D72 (2005) 121503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, discussion expanded, to be published in Phys. Rev. D Rapid Communication

Scientific paper

10.1103/PhysRevD.72.121503

The equations for the second-order gravitational perturbations produced by a compact-object have highly singular source terms at the point particle limit. At this limit the standard retarded solutions to these equations are ill-defined. Here we construct well-defined and physically meaningful solutions to these equations. These solutions are important for practical calculations: the planned gravitational-wave detector LISA requires preparation of waveform templates for the potential gravitational-waves. Construction of templates with desired accuracy for extreme mass ratio binaries, in which a compact-object inspirals towards a supermassive black-hole, requires calculation of the second-order gravitational perturbations produced by the compact-object.

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