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Second order perturbations of a Schwarzschild black hole

Reinaldo Gleiser·Oscar Nicasio·Richard Price·Jorge Pullin
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Abstract

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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Reinaldo Gleiser, Oscar Nicasio, Richard Price, Jorge Pullin. 1996-06-13. Second order perturbations of a Schwarzschild black hole. https://doi.org/10.1088/0264-9381%2F13%2F10%2F001

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