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Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations
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Perturbations of a rotating black hole are a central topic in general relativity. The paper derives linear equations that describe dynamical gravitational, electromagnetic, and neutrino‑field perturbations of a rotating black hole. These equations are obtained by linearizing the field equations around a Kerr background, yielding decoupled equations for each field type. The resulting equations decouple into a single gravitational, electromagnetic, and neutrino equation, each of which is completely separable into ordinary differential equations. Published in The Astrophysical Journal (1973), DOI:10.1086/152444.
view Abstract Citations (1425) References (22) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations Teukolsky, Saul A. Abstract This paper derives linear equations that describe dynamical gravitational, electromagnetic, and neutrino-field perturbations of a rotating black hole. The equations decouple into a single gravitational equation, a single electromagnetic equation, and a single neutrino equation. Each of these equations is completely separable into ordinary differential equations. The paper lays the mathematical groundwork for later papers in this series, which will deal with astrophysical applications: stability of the hole, tidal friction effects, superradiant scattering of electromagnetic waves, and gravitational-wave processes. Subject headings: black holes - gravitation - neutrinos - relativity - rotation Publication: The Astrophysical Journal Pub Date: October 1973 DOI: 10.1086/152444 Bibcode: 1973ApJ...185..635T full text sources ADS | Related Materials (1) Part 2: 1973ApJ...185..649P