Second order perturbations of a Schwarzschild black hole

Details Second order perturbations of a Schwarzschild black hole Second order perturbations of a Schwarzschild black hole

1995-10-24

arxiv.org/abs/gr-qc/9510049v2

Class.Quant.Grav.13:L117-L124,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, RevTeX, no figures, major revision, including several changes in formulae and presentation

Scientific paper

10.1088/0264-9381/13/10/001

We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole
to second order. The Einstein equations can be reduced to a single linear wave
equation with a potential and a source term. The source term is quadratic in
terms of the first order perturbations. This provides a formalism to address
the validity of many first order calculations of interest in astrophysics.

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