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Gravitational Perturbations of the Kerr black hole due to arbitrary sources

Claudia Moreno·Dario Nunez
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Abstract

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 ${Ψ_0}^{(1)}$ and ${Ψ_4}^{(1)}$ 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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Claudia Moreno, Dario Nunez. 2002-02-06. Gravitational Perturbations of the Kerr black hole due to arbitrary sources. https://doi.org/10.1142/s0218271802002165

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