English

Third order Lovelock black holes in flat space

General Relativity and Quantum Cosmology 2011-01-05 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1011.4149,
  title  = {Third order Lovelock black holes in flat space},
  author = {De-Cheng Zou and Rui-Hong Yue and Zhan-Ying Yang},
  journal= {arXiv preprint arXiv:1011.4149},
  year   = {2011}
}

Comments

This paper has been withdrawn by the authors. 21 pages, 21 figures

R2 v1 2026-06-21T16:45:34.853Z