The second law in four-dimensional Einstein-Gauss-Bonnet gravity

被引:27
作者
Chatterjee, Saugata [1 ]
Parikh, Maulik [1 ,2 ]
机构
[1] Arizona State Univ, Dept Phys, Tempe, AZ 85287 USA
[2] Arizona State Univ, Beyond Ctr Fundamental Concepts Sci, Tempe, AZ 85287 USA
关键词
black hole; entropy; Gauss-Bonnet; AdS; SITTER BLACK-HOLES; SPACE; THERMODYNAMICS; EQUATIONS; HORIZONS; ENTROPY; TERMS;
D O I
10.1088/0264-9381/31/15/155007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The topological contribution of a Gauss-Bonnet term in four dimensions to black hole entropy opens up the possibility of a violation of the second law of thermodynamics in black hole mergers. We show, however, that the second law is not violated in the regime where Einstein-Gauss-Bonnet holds as an effective theory and black holes can be treated thermodynamically. For mergers of anti-de Sitter (AdS) black holes, the second law appears to be violated even in Einstein gravity; we argue, however, that the second law holds when gravitational potential energy is taken into account.
引用
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页数:9
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