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arxiv: gr-qc/0304094 · v2 · submitted 2003-04-24 · 🌀 gr-qc

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

Sijie Gao This is my paper
classification 🌀 gr-qc
keywords blackfirstholemechanicsderivedeinstein-maxwelleinstein-yang-millsarguments
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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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    Exact black hole solutions with topological horizons are found in EKR gravity and their thermodynamics are analyzed using the Wald formalism for mass and entropy.