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. © 1996 IOP Publishing Ltd.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Gleiser, R., Nicasio, C., Price, R., & Pullin, J. (1996). Second-order perturbations of a Schwarzschild black hole. Classical and Quantum Gravity, 13 (10) https://doi.org/10.1088/0264-9381/13/10/001