BTZ-like black holes in even dimensional Lovelock theories

被引:21
作者
Canfora, Fabrizio [1 ]
Giacomini, Alex [2 ]
机构
[1] Ctr Estudios Cient, Valdivia, Chile
[2] Univ Austral Chile, Fac Ciencias, Inst Fis, Valdivia, Chile
来源
PHYSICAL REVIEW D | 2010年 / 82卷 / 02期
关键词
THERMODYNAMICS; GRAVITY; ENTROPY;
D O I
10.1103/PhysRevD.82.024022
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the present paper, a new class of black hole solutions is constructed in even dimensional Lovelock Born-Infeld theory. These solutions are interesting since, in some respects, they are closer to black hole solutions of an odd dimensional Lovelock Chern-Simons theory than to the more usual black hole solutions in even dimensions. This hybrid behavior arises when non-Einstein base manifolds are considered. The entropies of these solutions have been analyzed using Wald formalism. These metrics exhibit a quite nontrivial behavior. Their entropies can change sign and can even be identically zero depending on the geometry of the corresponding base manifolds. Therefore, the request of thermodynamical stability constrains the geometry of the non-Einstein base manifolds. It will be shown that some of these solutions can support nonvanishing torsion. Eventually, the possibility to define a sort of topological charge associated with torsion will be discussed.
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页数:10
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