Signatures of the sources in the gravitational waves of a perturbed Schwarzschild black hole

Details Signatures of the sources in the gravitational waves of a perturbed Schwarzschild black hole Signatures of the sources in the gravitational waves of a perturbed Schwarzschild black hole

2009-03-11

arxiv.org/abs/0903.2073v1

Gen.Rel.Grav.42:1287-1310,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 8 figures

Scientific paper

10.1007/s10714-009-0906-7

The explicit form of perturbation equation for the $\Psi_4$ Weyl scalar, containing the matter source terms, is derived for general type D spacetimes. It is described in detail the particular case of the Schwarzschild spacetime using in-going penetrating coordinates. As a practical application, we focused on the emission of gravitational waves when a black hole is perturbed by a surrounding dust-like fluid matter. The symmetries of the spacetime and the simplicity of the matter source allow, by means of a spherical harmonic decomposition, to study the problem by means of a one dimensional numerical code.

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