Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum.
A new version of the Teukolsky master equation, describing any massless field of spin s = 1/2, 1, 3/2 or 2 in a Kerr black hole, is presented here in the form of a wave equation containing additional curvature terms. These results suggest a relation between curvature perturbation theory in general r...
| Main Authors: | , , , |
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| Format: | |
| Language: | English |
| Published: |
2002
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| Online Access: | http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:177406 |
| Summary: | A new version of the Teukolsky master equation, describing any massless field of spin
s = 1/2, 1, 3/2 or 2 in a Kerr black hole, is presented here in the form of a wave equation
containing additional curvature terms. These results suggest a relation between curvature
perturbation theory in general relativity and the exact wave equations satisfied by the Weyl
and the Maxwell tensors, known in the literature as the de Rham-Lichnerowicz Laplacian
equations. We discuss these Laplacians both in terms of the Newman-Penrose formalism
and the Geroch-Held-Penrose variant for an arbitrary vacuum spacetime. A perturbative
expansion of these wave equations results in a recursive scheme valid for higher orders. This
approach, apart from the obvious implications for gravitational and electromagnetic wave
propagation in a curved spacetime, explains and extends the perturbative analysis results in
the literature by clarifying their origins in the exact theory. |
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