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 $d\le 7$. 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

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Cited by in corpus (8)

• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• Conserved charges in (Lovelock) gravity in first order formalism
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Thermodynamics of Slowly Rotating Charged Black Holes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
• Seeded vacuum decay with Gauss-Bonnet
• Counterterms for Static Lovelock Solutions
• Testing Higher Derivative Gravity Through Tunnelling
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory