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

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

2000-01-10

arxiv.org/abs/gr-qc/0001021v2

Gen.Rel.Grav. 32 (2000) 2021

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages RevTeX

Scientific paper

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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