Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars

Details Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars

1999-04-23

arxiv.org/abs/gr-qc/9904059v1

Phys.Rev. D60 (1999) 124004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 figures

Scientific paper

10.1103/PhysRevD.60.124004

We develop a framework for constructing initial data sets for perturbations about spherically symmetric matter distributions. This framework facilitates setting initial data representing astrophysical sources of gravitational radiation involving relativistic stars. The procedure is based on Lichnerowicz-York's conformal approach to solve the constraints in Einstein's equations. The correspondence of these initial data sets in terms of the standard gauge perturbation variables in the Regge-Wheeler perturbation variables is established, and examples of initial data sets of merging neutron stars under the close-limit approximation are presented.

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