First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories
arXiv:gr-qc/0304094 · doi:10.1103/PhysRevD.68.044016
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.
Modified version, major changes made in the introduction. 14 pages, no figure