Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars

Abstract

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.

arXiv comment14 pages, 2 figures

References in corpus (4)

• Colliding Black Holes: The Close Limit
• Gravitational waves from pulsating stars: Evolving the perturbation equations for a relativistic star
• Head-on collision of two black holes: comparison of different approaches
• The close-limit approximation to Neutron Star Collisions

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• New approach to the evolution of neutron star oscillations
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• Vortices without inflow: bound spectra in horizonless rotational analogs