Black hole mass and Hamilton-Jacobi counterterms

Details Black hole mass and Hamilton-Jacobi counterterms Black hole mass and Hamilton-Jacobi counterterms

2004-08-26

arxiv.org/abs/hep-th/0408205v1

JHEP 0505:034,2005

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, latex

Scientific paper

10.1088/1126-6708/2005/05/034

We apply the method of holographic renormalization to computing black hole masses in asymptotically anti-de Sitter spaces. In particular, we demonstrate that the Hamilton-Jacobi approach to obtaining the boundary action yields a set of counterterms sufficient to render the masses finite for four, five, six and seven-dimensional R-charged black holes in gauged supergravities. In addition, we prove that the familiar black hole thermodynamical expressions and in particular the first law continues to holds in general in the presence of arbitrary matter couplings to gravity.

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