Third order Lovelock black holes in flat space

Details Third order Lovelock black holes in flat space Third order Lovelock black holes in flat space

2010-11-18

arxiv.org/abs/1011.4149v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This paper has been withdrawn by the authors. 21 pages, 21 figures

Scientific paper

In this paper, we present the asymptotically flat black hole solutions for arbitrary values of coefficients in third order Lovelock gravity, and then derive gravitational mass, Hawking temperature and entropy of the black holes. In addition, based on a Hamilton-Jacobi approach beyond the semiclassical approximation, we compute the corrected temperature and entropy of the third order Lovelock black holes in seven dimensional spacetimes. By considering the coefficients {\alpha}2 = {\alpha} and {\alpha}3 = {\alpha}2/3, we obtain a special black hole solution. Later, we perform the local and global stability analysis of the black holes with different horizon structures k = \pm1 for coefficient {\alpha}2 < 0 and {\alpha}2 > 0, respectively.

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