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

Sijie Gao
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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.

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Sijie Gao. 2003-08-25. First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories. https://doi.org/10.1103/physrevd.68.044016

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