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 1 = 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. © 2000 Plenum Publishing Corporation.
Publication Source (Journal or Book title)
General Relativity and Gravitation
Nicasio, C., Gleiser, R., & Pullin, J. (2000). Second order perturbations of a schwarzschild black hole: Inclusion of odd parity perturbations. General Relativity and Gravitation, 32 (10), 2021-2042. https://doi.org/10.1023/A:1001994318436