Phys. Rev. D 68, 044016 (2003) [6 pages]First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theoriesReceived 30 April 2003; revised 12 June 2003; published 21 August 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.044016
DOI:
10.1103/PhysRevD.68.044016
PACS:
04.70.Bw, 04.40.Nr
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