Teukolsky master equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum - INSPIRE

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Teukolsky master equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum

Donato Bini
(
- CASPUR, Rome and
- ICRA, Rome
)
,
Christian Cherubini
(
- Salerno U. and
- ICRA, Rome
)
,
Robert T Jantzen
(
- Villanova U. and
- ICRA, Rome
)
,
Remo J. Ruffini
(
- Rome U. and
- ICRA, Rome
)

Mar, 2002

30 pages

Published in:

Prog.Theor.Phys. 107 (2002) 967-992

e-Print:

gr-qc/0203069 [gr-qc]

DOI:

10.1143/PTP.107.967

View in:

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Abstract: (arXiv)

A new version of the Teukolksy Master Equation, describing any massless field of different spin

s=1/2,1,3/2,2

in the 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 the Newman-Penrose formalism and in the Geroch-Held-Penrose variant for an arbitrary vacuum spacetime. Perturbative expansion of these wave equations results in a recursive scheme valid for higher orders. This approach, apart from the obvious implications for the gravitational and electromagnetic wave propagation on a curved spacetime, explains and extends the results in the literature for perturbative analysis by clarifying their true origins in the exact theory.

master equation
black hole: Kerr
field theory: massless
spin
gravitation
electromagnetic field
space-time: vacuum state
field equations
perturbation theory
bibliography

References(39)

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