Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method

Details Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method

2008-06-09

arxiv.org/abs/0806.1396v2

JHEP0809:006,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 6 figures, references added, discussion extended

Scientific paper

10.1088/1126-6708/2008/09/006

We propose to compute the action and global charges of the asymptotically anti-de Sitter solutions in Einstein-Gauss-Bonnet theory by adding boundary counterterms to the gravitational action. The general expression of the counterterms and the boundary stress tensor is presented for spacetimes of dimension $d\leq 9$. We apply this tehnique for several different types of black objects. Apart from static and rotating black holes, we consider also Einstein-Gauss-Bonnet black string solutions with negative cosmological constant.

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