2005/01/31 by Eric Poisson · 3 citations
Mathematics · Physics and Astronomy · #Angular momentum #Astronomy #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Curvature #Event horizon #Geometry #Gravitation #Horizon #Kerr metric #Mathematical physics #Mathematics #Metric (unit) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #RADIUS #Rotating black hole #Schwarzschild radius #Spacetime #White hole #gr-qc
paper · pdf · doi:10.1103/physrevlett.94.161103
published as Phys.Rev.Lett. 94 (2005) 161103 · 4 pages. Final version, as it will appear in Physical Review Letters
arxiv created 2005/04/22 · openalex publication_date 2005/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The metric of a tidally distorted, nonrotating black hole is presented in a light-cone coordinate system that penetrates the event horizon and possesses a clear geometrical meaning. The metric is expressed as an expansion in powers of r/R<<1, where r is a measure of distance from the black hole and R is the local radius of curvature of the external spacetime; this is assumed to be much larger than M, the mass of the black hole. The metric is calculated up to a remainder of order (r/R)4, and it depends on a family of tidal gravitational fields which characterize the hole's local environment. The coordinate system allows an easy identification of the event horizon, and expressions are derived for its surface gravity and the rates at which the tidal interaction transfers mass and angular momentum to the black hole.