Axial perturbations of general spherically symmetric spacetimes

Details Axial perturbations of general spherically symmetric spacetimes Axial perturbations of general spherically symmetric spacetimes

2001-11-20

arxiv.org/abs/gr-qc/0111066v2

Class.Quant.Grav.19:2125-2140,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures, minor corrections

Scientific paper

10.1088/0264-9381/19/8/305

The aim of this paper is to present a governing equation for first order axial metric perturbations of general, not necessarily static, spherically symmetric spacetimes. Under the non-restrictive assumption of axisymmetric perturbations, the governing equation is shown to be a two-dimensional wave equation where the wave function serves as a twist potential for the axisymmetry generating Killing vector. This wave equation can be written in a form which is formally a very simple generalization of the Regge-Wheeler equation governing the axial perturbations of a Schwarzschild black hole, but in general the equation is accompanied by a source term related to matter perturbations. The case of a viscous fluid is studied in particular detail.

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