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De Rham wave equation for gravitational and electromagnetic fields in vacuum (Articolo in rivista)

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De Rham wave equation for gravitational and electromagnetic fields in vacuum (Articolo in rivista) (literal)

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Bini D., Cherubini C., Jantzen R.T., Ruffini R. (2002)
De Rham wave equation for gravitational and electromagnetic fields in vacuum
in Progress of theoretical physics
(literal)

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De Rham wave equation for gravitational and electromagnetic fields in vacuum (literal)

Abstract

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. (literal)

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