Entropy generation in 2+1-dimensional Gravity

Details Entropy generation in 2+1-dimensional Gravity Entropy generation in 2+1-dimensional Gravity

1994-01-11

arxiv.org/abs/gr-qc/9401010v2

Phys.Rev.D50:2692-2699,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, Tex, TAUP-2102-93

Scientific paper

10.1103/PhysRevD.50.2692

The tunneling approach, for entropy generation in quantum gravity, is shown to be valid when applied to 3-D general relativity. The entropy of de Sitter and Reissner-Nordstr\"om external event horizons and of the 3-D black hole obtained by Ba\~nados et. al. is rederived from tunneling of the metric to these spacetimes. The analysis for spacetimes with an external horizon is carried out in a complete analogy with the 4-D case. However, we find significant differences for the black hole. In particular the initial configuration that tunnels to a 3-D black hole may not to yield an infinitely degenerate object, as in 4-D Schwarzschild black hole. We discuss the possible relation to the evaporation of the 3-D black hole.

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