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Second order perturbations of a Schwarzschild black hole

1995/10/31 by Reinaldo Gleiser, Oscar Nicasio, Richard Price +1 · 1 citation
Physics and Astronomy · #gr-qc #astro-ph

paper · pdf · doi:10.1088/0264-9381/13/10/001

published as Class.Quant.Grav.13:L117-L124,1996 · 6 pages, RevTeX, no figures, major revision, including several changes in formulae and presentation

arxiv created 1996/06/13 · arxiv updated 2010/04/06

Abstract

We study the even-parity ℓ=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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