Sinh-Gordon Matter Field and a Solvable Model in Two-Dimensional Gravity

Mathematics – Logic

Scientific paper

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Classical Gravity In 1 + 1 Dimensions

Scientific paper

The two-dimensional gravity model with a coupling constant k = 4 and a vanishing cosmological constant coupled to a sinh-Gordon matter field is investigated. We find that the classical equations of motion are exactly solvable, and analytically obtain the static solutions of induced metric and scalar curvature. These solutions have some new features and may be used to describe the naked singularities at the horizons.

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