Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
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≤ 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.
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