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...
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2002
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. Bini, Donato. Cherubini, Christian. Jantzen, Robert. Ruffini, Remo. 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. 2002 Villanova Faculty Authorship vudl:177406 Progress of Theoretical Physics 107(5), May 2002, 967-992. en |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Bini, Donato. Cherubini, Christian. Jantzen, Robert. Ruffini, Remo. |
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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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2002 |
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Villanova Faculty Authorship |
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vudl:177406 |
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Progress of Theoretical Physics 107(5), May 2002, 967-992. |
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en |
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Bini, Donato. Cherubini, Christian. Jantzen, Robert. Ruffini, Remo. |
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Bini, Donato. Cherubini, Christian. Jantzen, Robert. Ruffini, Remo. Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Bini, Donato. Cherubini, Christian. Jantzen, Robert. Ruffini, Remo. |
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Progress of Theoretical Physics 107(5), May 2002, 967-992. |
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Villanova Faculty Authorship |
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Bini, Donato. |
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2002 |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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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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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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Teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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teukolsky master equation: de rham wave equation for gravitational and electromagnetic fields in vacuum. |
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2002 |
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