Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-04-28
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.
Betschart Gerold
Clarkson Chris A.
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