Quailocal Formalism for Dilaton Gravity with Yang-Mills Fields

Abstract

We present a quasilocal formalism, based on the one proposed by Brown and York, for dilaton gravity with Yang-Mills fields. For solutions possessing sufficient symmetry, we define conserved quantities such as mass, angular momentum, and charge. We also present a micro-canonical action and use it to arrive at a quasilocal version of the first law of thermodynamics for static systems containing a black hole.

5 pages. Uses AMS-TeX preprint style. Submitted to the proceedings of the 6th Canadian Conference on General Relativity and Relativistic Astrophysics