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arxiv: gr-qc/9510049 · v2 · submitted 1995-10-24 · 🌀 gr-qc · astro-ph

Second order perturbations of a Schwarzschild black hole

classification 🌀 gr-qc astro-ph
keywords orderperturbationsblackfirstholeschwarzschildsecondsource
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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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Cited by 2 Pith papers

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