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Second order perturbations of a Schwarzschild black hole: inclusion of odd parity perturbations

Carlos O. Nicasio·Reinaldo Gleiser·Jorge Pullin
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Abstract

We consider perturbations of a Schwarzschild black hole that can be of both even and odd parity, keeping terms up to second order in perturbation theory, for the $\ell=2$ axisymmetric case. We develop explicit formulae for the evolution equations and radiated energies and waveforms using the Regge-Wheeler-Zerilli approach. This formulation is useful, for instance, for the treatment in the ``close limit approximation'' of the collision of counterrotating black holes.

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Carlos O. Nicasio, Reinaldo Gleiser, Jorge Pullin. 2001-01-20. Second order perturbations of a Schwarzschild black hole: inclusion of odd parity perturbations. https://doi.org/10.1023/a%3A1001994318436

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