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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.68.044016

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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