Linearized gravity and gauge conditions

Abstract

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.

24 pages, corresponds to published version

References in corpus (4)

• Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime
• Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics
• Petrov D vacuum spaces revisited: Identities and Invariant Classification
• Hidden symmetries and decay for the wave equation on the Kerr spacetime

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