6533b834fe1ef96bd129e200

RESEARCH PRODUCT

Integrable models and degenerate horizons in two-dimensional gravity

Alessandro FabbriD. J. NavarroD. J. NavarroJosé Navarro-salasJ. Cruz

subject

AstrofísicaHigh Energy Physics - TheoryPhysicsGravitacióNuclear and High Energy PhysicsIntegrable systemCanonical quantizationDegenerate energy levelsFOS: Physical sciencesSemiclassical physicsConformal mapContext (language use)General Relativity and Quantum CosmologyClassical mechanicsde Sitter–Schwarzschild metricHigh Energy Physics - Theory (hep-th)DilatonMathematical physics

description

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.

https://doi.org/10.1103/physrevd.61.024011