2002/03/21 by Donato Bini, Christian Cherubini, Robert T. Jantzen +3 · 2 citations
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Electromagnetic Simulation and Numerical Methods #Electromagnetic field #General relativity #Geometry #Gravitational wave #Massless particle #Mathematical physics #Mathematics of general relativity #Maxwell's equations in curved spacetime #Minkowski space #Numerical relativity #Physics #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Riemann curvature tensor #Spacetime #Theory of relativity #Wave equation #Weyl tensor #gr-qc
paper · pdf · doi:10.1143/ptp.107.967
published as Prog.Theor.Phys. 107 (2002) 967-992 · 30 pages. No figures. Used PTP macros. To appear on Prog. Theor. Phys., Vol. 107, No. 5, May 2002
arxiv created 2002/03/21 · openalex publication_date 2002/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.