Einstein–Gauss–Bonnet black holes in de Sitter spacetime and the quasilocal formalism

2008/12/31 by Y. Brihaye, Yves Brihaye, Eugen Radu +1 · 8 citations
Physics and Astronomy · #Anti-de Sitter space #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Einstein #Formalism (music) #Gauss #Gauss–Bonnet theorem #Mathematical physics #Physics #Quantum mechanics #Spacetime #Theoretical physics #Universe #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2009.06.010

published in Physics Letters B 678(2), 204-212 (Elsevier BV) · 13 pages, 3 figures, typos corrected, text and one figure improved

arxiv created 2009/06/08 · openalex publication_date 2009/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein–Gauss–Bonnet theory by using the counterterm 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 technique 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. These solutions are constructed numerically within a nonperturbative approach, by directly solving the Einstein–Gauss–Bonnet equations with suitable boundary conditions.

Citations

• Quantum Gravity In De Sitter Space
• Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Five-dimensional rotating black holes in Einstein–Gauss–Bonnet theory
• Covariant counter-terms and conserved charges in asymptotically flat spacetimes
• Counterterms in dimensionally continued AdS gravity
• “Mass without mass” from thin shells in Gauss-Bonnet gravity
• Charged Rotating Black Holes in Odd Dimensions
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Duality and the signature of space-time
• A collocation solver for mixed order systems of boundary value problems
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Superstring modifications of Einstein's equations
• Holographic renormalization of asymptotically flat spacetimes
• Timelike T-duality, de Sitter space, large N gauge theories and topological field theory
• The dS/CFT correspondence
• Mass, entropy, and holography in asymptotically de Sitter spaces
• Quasilocal energy and conserved charges derived from the gravitational action
• Higher Order Gravity Theories and Their Black Hole Solutions
• Slowly rotating charged Gauss-Bonnet black holes in AdS spaces

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• Inhomogeneous metrics on complex bundles in Lovelock gravity