Integrable models and degenerate horizons in two-dimensional gravity

Details Integrable models and degenerate horizons in two-dimensional gravity Integrable models and degenerate horizons in two-dimensional gravity

1999-06-24

arxiv.org/abs/hep-th/9906187v1

Phys.Rev. D61 (2000) 024011

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 16 pages, 1 figure

Scientific paper

10.1103/PhysRevD.61.024011

We analyse an integrable model of two-dimensional gravity which can be reduced to a pair of Liouville fields in conformal gauge. Its general solution represents a pair of ``mirror'' black holes with the same temperature. The ground state is a degenerate constant dilaton configuration similar to the Nariai solution of the Schwarzschild-de Sitter case. The existence of $\phi=const.$ solutions and their relation with the solution given by the 2D Birkhoff's theorem is then investigated in a more general context. We also point out some interesting features of the semiclassical theory of our model and the similarity with the behaviour of AdS$_2$ black holes.

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