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

Abstract

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

arXiv commentModified version, major changes made in the introduction. 14 pages, no figure

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