Scalar field and electromagnetic perturbations on Locally Rotationally Symmetric spacetimes

Details Scalar field and electromagnetic perturbations on Locally Rotationally Symmetric spacetimes Scalar field and electromagnetic perturbations on Locally Rotationally Symmetric spacetimes

2004-04-28

arxiv.org/abs/gr-qc/0404116v3

Class.Quant.Grav.21:5587-5608,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages; v3 has minor changes to match published version

Scientific paper

10.1088/0264-9381/21/23/018

We study scalar field and electromagnetic perturbations on Locally Rotationally Symmetric (LRS) class II spacetimes, exploiting a recently developed covariant and gauge-invariant perturbation formalism. From the Klein-Gordon equation and Maxwell's equations, respectively, we derive covariant and gauge-invariant wave equations for the perturbation variables and thereby find the generalised Regge-Wheeler equations for these LRS class II spacetime perturbations. As illustrative examples, the results are discussed in detail for the Schwarzschild and Vaidya spacetime, and briefly for some classes of dust Universes.

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