Thermodynamics of event horizons in (2+1)-dimensional gravity

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Abstract

Although gravity in 2+1 dimensions is very different in nature from gravity in 3+1 dimensions, it is shown that the laws of thermodynamics for event horizons can be manifested also for (2+1)-dimensional gravity. The validity of the classical laws of horizon mechanics is verified in general and exemplified for the (2+1)-dimensional analogues of Reissner-Nordström and Schwarzschildde Sitter spacetimes. We find that the entropy is given by 1/4L, where L is the length of the horizon. A consequence of having consistent thermodynamics is that the second law fixes the sign of Newton's constant to be positive.

Original languageEnglish
Pages (from-to)2151-2154
Number of pages4
JournalPhysical review D
Volume45
Issue number6
DOIs
StatePublished - 1992

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