Teukolsky Master Equation : de Rham Wave Equation for Gravitational and Electromagnetic Fields in Vacuum

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概要

• 論文の詳細を見る

• 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.

• 理論物理学刊行会の論文
• 2002-05-25

著者

• Cherubini Christian

  Dip. Di Fisica "e. R. Cajaniello" Univ. Di Salerno:i. C. R. A. Univ. Of Rome

• BINI Donato

  Istituto per le Applicazioni del Calcolo, "M. Picone" C. N. R.,

• JANTZEN Robert.T

  Dept. of Math. Sciences, Villanova Univ., Villanova

• RUFFINI Remo

  Physics Dept., Univ. of Rome

• Bini Donato

  Istituto Per Le Applicazioni Del Calcolo "m. Picone" C. N. R. :i. C. R. A. Univ. Of Rome

• Ruffini R

  Physics Dept. Univ. Of Rome:i. C. R. A. Univ. Of Rome

• Jantzen R

  Dept. Of Math. Sciences Villanova Univ. Villanova:i. C. R. A. Univ. Of Rome

• RUFFINI Remo

  Physics Dept., Univ. of Rome:I. C. R. A., Univ. of Rome

• T.Jantzen Robert

  Dept. of Math. Sciences, Villanova Univ., Villanova

• JANTZEN Robert.T

  Dept. of Math. Sciences, Villanova Univ., Villanova:I. C. R. A., Univ. of Rome

• Bini Donato

  Istituto per le Applicazioni del Calcolo, "M. Picone" C. N. R.,:I. C. R. A., Univ. of Rome

• Cherubini Christian

  Dip. di Fisica "E. R. Cajaniello" Univ. di Salerno:I. C. R. A., Univ. of Rome

関連論文

• Teukolsky Master Equation : de Rham Wave Equation for Gravitational and Electromagnetic Fields in Vacuum
• On a Semi-Relativistic Treatment of the Gravitational Radiation from a Mass Thrusted into a Black Hole

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