Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
arXiv:0812.3296 · doi:10.1016/j.physletb.2009.06.010
Abstract
We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein-Gauss-Bonnet theory by using the counterterms method in conjunction with the quasilocal formalism. The general expression of the counterterms and the boundary stress tensor is presented for spacetimes of dimension $d\leq 7$. We apply this tehnique for several different solutions in Einstein-Gauss-Bonnet theory with a positive cosmological constant. Apart from known solutions, we consider also $d=5$ vacuum rotating black holes with equal magnitude angular momenta.
13 pages, 3 figures, typos corrected, text and one figure improved