First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories

Sijie Gao
Phys. Rev. D 68, 044016 – Published 21 August 2003
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Abstract

The first law of black hole mechanics is derived from the Einstein-Maxwell Lagrangian by comparing two infinitesimally nearby stationary black holes. With similar arguments, the first law of black hole mechanics in Einstein-Yang-Mills theory is also derived.

  • Received 30 April 2003

DOI:https://doi.org/10.1103/PhysRevD.68.044016

©2003 American Physical Society

Authors & Affiliations

Sijie Gao

  • Centro Multidisciplinar de Astrofísica, CENTRA, Departamento de Física, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal

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Vol. 68, Iss. 4 — 15 August 2003

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