Gravitational Perturbations of the Kerr black hole due to arbitrary sources

Details Gravitational Perturbations of the Kerr black hole due to arbitrary sources Gravitational Perturbations of the Kerr black hole due to arbitrary sources

2001-11-13

arxiv.org/abs/gr-qc/0111038v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1142/S0218271802002165

We describe the Kerr black hole in the ingoing and outgoing Kerr-Schild horizon penetrating coordinates. Starting from the null vector naturally defined in these coordinates, we construct the null tetrad for each case, as well as the corresponding geometrical quantities allowing us to explicitly derive the field equations for the ${\Psi_0}^{(1)}$ and ${\Psi_4}^{(1)}$ perturbed scalar projections of the Weyl tensor, including arbitrary source terms. This perturbative description, including arbitrary sources, described in horizon penetrating coordinates is desirable in several lines of research on black holes, and contributes to the implementation of a formalism aimed to study the evolution of the space time in the region where two black holes are close.

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