Thermodynamical universality of the Lovelock black holes

Abstract

The necessary and sufficient condition for the thermodynamical universality of the static spherically symmetric Lovelock black hole is that it is the pure Lovelock Λ-vacuum solution. By universality we mean the thermodynamical parameters: temperature and entropy always bear the same relationship to the horizon radius irrespective of the Lovelock order and the spacetime dimension. For instance, the entropy always goes in terms of the horizon radius as rh and r^2 respectively for h odd and even dimensions. This universality uniquely identifies the pure Lovelock black hole with Λ.

7 pages

References in corpus (7)

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• Black Holes in Pure Lovelock Gravities
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Cited by in corpus (22)

• The Lovelock gravity in the critical spacetime dimension
• On the static Lovelock black holes
• Dynamical structure of Pure Lovelock gravity
• A discerning gravitational property for gravitational equation in higher dimensions
• Universality of isothermal fluid spheres in Lovelock gravity
• Pure Lovelock gravity and Chern-Simons theory
• Regular black holes and its thermodynamics in Lovelock gravity
• On Lovelock analogues of the Riemann tensor
• Gravitational collapse in pure Lovelock gravity in higher dimensions
• Stability and existence analysis of static black holes in pure Lovelock theories
• Topological black holes in pure Gauss-Bonnet gravity and phase transitions
• Lovelock gravities from Born-Infeld gravity theory
• Generalized Pure Lovelock Gravity
• Two Aspects of Black hole entropy in Lanczos-Lovelock models of gravity
• 1/r potential in higher dimensions
• Static pure Lovelock black hole solutions with horizon topology ${\mathbf{S}}^{(\mathbf{n})}\times {\mathbf{S}}^{(\mathbf{n})}$
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Probing pure Lovelock gravity by Nariai and Bertotti-Robinson solutions
• A new formula for conserved charges of Lovelock gravity in AdS spacetimes and its generalization
• Conserved quantities for black hole solutions in pure Lovelock gravity
• On the maximally symmetric vacua of generic Lovelock gravities
• Extrinsic black hole uniqueness in pure Lovelock gravity