Black Holes in Pure Lovelock Gravities

Abstract

The Lovelock gravity is a fascinating extension of general relativity, whose action consists of the dimensionally extended Euler densities. Compared to other higher order derivative gravity theories, the Lovelock gravity is attractive since it has a lot of remarkable features such as that there are no more than second order derivatives with respect to metric in its equations of motion, and that the theory is free of ghost. Recently in the study of black string and black brane in the Lovelock gravity, a special class of Lovelock gravity is considered, which is named pure Lovelock gravity, where only one Euler density term exists. In this paper we study black hole solutions in the special class of Lovelock gravity and associated thermodynamic properties. Some interesting features are found, which are quite different from the corresponding ones in general relativity.

Latex, 14 pages with 2 eps figures, v2: Revtex, 17pages with 2 eps figures, minor changes and references added, to appear in PRD, v3: the version in PRD

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• Clouds of strings in third-order Lovelock gravity
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• Cloud of strings for radiating black holes in Lovelock gravity
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• A note on differences between (4+1)- and (5+1)-dimensional anisotropic cosmology in the presence of the Gauss-Bonnet term
• Higher dimensional Yang-Mills black holes in third order Lovelock gravity
• Regular black holes and its thermodynamics in Lovelock gravity
• Cosmological dynamics in higher-dimensional Einstein-Gauss-Bonnet gravity
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Generalized Pure Lovelock Gravity
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• Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• Magnetized topological black holes of dimensionally continued gravity
• C-Functions in Lovelock Gravity
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• On Gauss-Bonnet Curvatures
• Cosmological solutions in Einstein-Gauss-Bonnet gravity with static curved extra dimensions
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
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• A new class of regular Black Holes in Einstein Gauss Bonnet gravity with localized sources of matter
• Thermodynamic geometry of pure Lovelock black holes
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• Quasi-local energy and ADM mass in pure Lovelock gravity
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• Study of motion around a static black hole in Einstein and Lovelock gravity
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• Thin shell dynamics in Lovelock gravity
• Constructing Regular Lovelock Black Holes with degenerate vacuum and $\Lambda <0$, using the gravitational tension. Shadow analysis
• Extrinsic black hole uniqueness in pure Lovelock gravity
• The trace of field equations for higher-derivative gravity and an equality associating the Lagrangian density with a divergence term
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity