Quasi-local first law of black-hole dynamics

1999/05/31 by Shinji Mukohyama, Sean A. Hayward · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Infinitesimal #Law #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Statistical physics #Theoretical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/17/10/310

published as Class.Quant.Grav. 17 (2000) 2153 · Latex, 8 pages; version to appear in Class. Quantum Grav

arxiv created 2000/04/17 · openalex publication_date 2000/05/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A property well known as the first law of black holes is a relation among infinitesimal variations of parameters of stationary black holes. We consider a dynamical version of the first law, which may be called the first law of black hole dynamics. The first law of black hole dynamics is derived without assuming any symmetry or any asymptotic conditions. In the derivation, a definition of dynamical surface gravity is proposed. In spherical symmetry it reduces to that defined recently by one of the authors (SAH).

Citations

• Unified first law of black-hole dynamics and relativistic thermodynamics
• The four laws of black hole mechanics
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• Particle creation by black holes
• Black Holes and Entropy
• DYNAMIC WORMHOLES

Cited by

• Misner-Sharp mass and the unified first law in massive gravity
• Hawking radiation and thermodynamics of dynamical black holes in a phantom-dominated universe
• Quasilocal mass in scalar–tensor gravity: spherical symmetry
• Hawking temperature of expanding cosmological black holes
• Energy Conservation for Dynamical Black Holes
• Tunnelling methods and Hawking's radiation: achievements and prospects