Abstract
We present a procedure that allows the construction of the metric perturbations and electromagnetic four-potential, for gravitational and electromagnetic perturbations produced by sources in Kerr spacetime. This may include, for example, the perturbations produced by a point particle or an extended object moving in orbit around a Kerr black hole. The construction is carried out in the frequency domain. Previously, Chrzanowski derived the vacuum metric perturbations and electromagnetic four-potential by applying a differential operator to a certain potential Here we construct for inhomogeneous perturbations, thereby allowing the application of Chrzanowski’s method. We address this problem in two stages: First, for vacuum perturbations (i.e. pure gravitational or electromagnetic waves), we construct the potential from the modes of the Weyl scalars or Second, for perturbations produced by sources, we express in terms of the mode functions of the source, i.e. the energy-momentum tensor or the electromagnetic current vector
- Received 12 July 2002
DOI:https://doi.org/10.1103/PhysRevD.67.124010
©2003 American Physical Society