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Integrable models and degenerate horizons in two-dimensional gravity
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abstract
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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Integrable black hole dynamics in the asymptotic structure of AdS$_{3}$
In AdS3, a relaxed class of boundary conditions makes Einstein's equations reduce to two AKNS integrable hierarchies, and stationary black holes in this class have constant temperatures fixed by hyperelliptic spectra,...
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