Black Holes in Pure Lovelock Gravities

Details Black Holes in Pure Lovelock Gravities Black Holes in Pure Lovelock Gravities

2006-04-12

arxiv.org/abs/hep-th/0604088v3

Phys.Rev. D74 (2006) 064001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.74.064001

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.

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