A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions
A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions
We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single second-order wave equation in a two-dimensional static spacetime, irrespective of the mode of perturbations. Our starting point is the gauge-invariant formalism for perturbations …