Linearized gravity and gauge conditions

Details Linearized gravity and gauge conditions Linearized gravity and gauge conditions

2010-09-28

arxiv.org/abs/1009.5647v2

Class.Quant.Grav.28:065001,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, corresponds to published version

Scientific paper

10.1088/0264-9381/28/6/065001

In this paper we consider the field equations for linearized gravity and other integer spin fields on the Kerr spacetime, and more generally on spacetimes of Petrov type D. We give a derivation, using the GHP formalism, of decoupled field equations for the linearized Weyl scalars for all spin weights and identify the gauge source functions occuring in these. For the spin weight 0 Weyl scalar, imposing a generalized harmonic coordinate gauge yields a generalization of the Regge-Wheeler equation. Specializing to the Schwarzschild case, we derive the gauge invariant Regge-Wheeler and Zerilli equation directly from the equation for the spin 0 scalar.

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