Black holes in higher curvature theory and third law of thermodynamics
Black holes in higher curvature theory and third law of thermodynamics
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DOI：
10.1088/1742-6596/31/1/040
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发表时间：
2006-03
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通讯作者：
T. Torii
中科院分区：
文献类型：
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作者：
T. Torii
我们在高曲率引力理论中导出了黑洞解，并讨论了它们的时空结构。我们主要研究Lovelock理论，它包含宇宙常数、Einstein-Hilbert作用量和Gauss-Bonnet项作为低阶项。在这些溶液中，有一些溶液可能通过物理过程变成具有零温度的极端溶液。这是黑洞热力学第三定律的反例。我们还讨论了产品空间的解决方案，这是Nariai和Bertotti-Robinson解决方案的扩展。
We derive the black hole solutions in higher curvature gravitational theories and discuss their spacetime structures. In our analysis Lovelock theory is mainly investigated, which includes cosmological constant, Einstein-Hilbert action, and Gauss-Bonnet term as its lower order terms. Among the solutions, there are solutions which may become extreme solutions with zero temperature through physical processes. This is a counterexample of the third law of black hole thermodynamics. We also discuss solutions with product space which are extensions of Nariai and Bertotti-Robinson solutions.