Gauss-Bonnet black holes with non-constant curvature horizons

Abstract

We investigate static and dynamical n(\ge 6)-dimensional black holes in Einstein-Gauss-Bonnet gravity of which horizons have the isometries of an (n-2)-dimensional Einstein space with a condition on its Weyl tensor originally given by Dotti and Gleiser. Defining a generalized Misner-Sharp quasi-local mass that satisfies the unified first law, we show that most of the properties of the quasi-local mass and the trapping horizon are shared with the case with horizons of constant curvature. It is shown that the Dotti-Gleiser solution is the unique vacuum solution if the warp factor on the (n-2)-dimensional Einstein space is non-constant. The quasi-local mass becomes constant for the Dotti-Gleiser black hole and satisfies the first law of the black-hole thermodynamics with its Wald entropy. In the non-negative curvature case with positive Gauss-Bonnet constant and zero cosmological constant, it is shown that the Dotti-Gleiser black hole is thermodynamically unstable. Even if it becomes locally stable for the non-zero cosmological constant, it cannot be globally stable for the positive cosmological constant.

15 pages, 1 figure; v2, discussion clarified and references added; v3, published version; v4, Eqs.(4.22)-(4.24) corrected, which do not change Eqs.(4.25)-(4.27)

References in corpus (20)

• Viscosity Bound and Causality Violation
• The Lovelock Black Holes
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Higher order gravity theories and their black hole solutions
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Komar Integrals in Higher (and Lower) Derivative Gravity
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Matter without matter: novel Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Stability of Lovelock Black Holes under Tensor Perturbations
• Quasinormal modes for tensor and vector type perturbation of Gauss Bonnet black holes using third order WKB approach
• Moduli flow and non-supersymmetric AdS attractors
• The Attractor Mechanism in Gauss-Bonnet Gravity
• Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory

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• From Lovelock to Horndeski's generalised scalar-tensor theory
• On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity
• Beyond Schwarzschild-de Sitter spacetimes: III. A perturbative vacuum with non-constant scalar curvature in $R+R^2$ gravity
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