Two-dimensional gravitation and Sine-Gordon-Solitons

Abstract

Some aspects of two-dimensional gravity coupled to matter fields, especially to the Sine-Gordon-model are examined. General properties and boundary conditions of possible soliton-solutions are considered. Analytic soliton-solutions are discovered and the structure of the induced space-time geometry is discussed. These solutions have interesting features and may serve as a starting point for further investigations.

23 pages, latex, references added, to appear in Phys.Rev.D

References in corpus (15)

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• Evanescent Black Holes
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• The $D\to 2$ Limit of General Relativity
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Cited by in corpus (11)

• K-field kinks in two-dimensional dilaton gravity
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Scalar perturbation of gravitating double-kink solutions
• Normal modes for two-dimensional gravitating kinks
• Singular Pöschl-Teller II potentials and gravitating kinks
• Kink solutions in generalized 2D dilaton gravity
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• On self-gravitating kinks in two-dimensional pseudo-riemannian universes
• Gravitating kinks with asymptotically flat metrics
• Black Holes in Two Dimensional Dilaton Gravity and Nonlinear Klein-Gordon Soliton
• One-Dimensional Relativistic Self-Gravitating Systems