Isolated horizons: a generalization of black hole mechanics

1998/12/18 by Abhay Ashtekar, Christopher Beetle, Stephen Fairhurst · 6 citations
Physics and Astronomy · #Apparent horizon #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Event horizon #Extremal black hole #Generalization #Horizon #Relativity and Gravitational Theory #Spacetime #White hole #gr-qc

paper · pdf · doi:10.1088/0264-9381/16/2/027

published as Class.Quant.Grav.16:L1-L7,1999 · 9 pages, LaTeX2e, 3 eps figures

arxiv created 1998/12/18 · openalex publication_date 1999/01/01 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

A set of boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A spacetime representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon. Physically motivated, (quasi-)local definitions of the mass and surface gravity of an isolated horizon are introduced. Although these definitions do not refer to infinity, the quantities assume their standard values in Reissner-Nordström solutions. Finally, using these definitions, the zeroth and first laws of black hole mechanics are established for isolated horizons.

Citations

• The four laws of black hole mechanics
• Quantum Geometry and Black Hole Entropy
• New Variables for Classical and Quantum Gravity
• New Hamiltonian formulation of general relativity
• Black Holes and Entropy

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