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

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

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.2151r&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 6, 15 March 1992, pp.2151-2154

Physics

18

Thermodynamics, Exact Solutions

Scientific paper

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 Schwarzschild-de 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.

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