2D Extremal Black Holes as Solitons

Abstract

We discuss the relationship between two-dimensional (2D) dilaton gravity models and sine-Gordon-like field theories. We show that there is a one-to-one correspondence between the solutions of 2D dilaton gravity and the solutions of a (two fields) generalization of the sine-Gordon model. In particular, we find a connection between the soliton solutions of the generalized sine-Gordon model and extremal black hole solutions of 2D dilaton gravity. As a by-product of our calculations we find a easy way to generate cosmological solutions of 2D dilaton gravity.

12 pages, LaTex, no figures, typos corrected

References in corpus (2)

• No saturation of the quantum Bogomolnyi bound by two-dimensional supersymmetric solitons
• Solitons and Black Holes

Cited by in corpus (7)

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• Sine-Gordon solitonic scalar stars and black holes
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• A symmetry breaking mechanism for selecting the speed of relativistic solitons
• Explicit soliton-black hole correspondence for static configurations