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

The explicit form of perturbation equation for the $Ψ_4$ 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.

preprint2009arXivOpen access
Juan Carlos DegolladoDario NunezCarlos Palenzuela
gr-qc
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Open access3 authors1 topic
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Juan Carlos DegolladoDario NunezCarlos Palenzuela

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