Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors

Abstract

We apply a global and geometrically well-defined formalism for spinor-dilaton-gravity to two-dimensional manifolds. We discuss the general formalism and focus attention on some particular choices of the dilatonic potential. For constant dilatonic potential the model turns out to be completely solvable and the general solution is found. For linear and exponential dilatonic potentials we present the class of exact solutions with a Killing vector.

21 pages, LaTeX, minor changes in text and format, final version to appear in Classical and Quantum Gravity

References in corpus (2)

• A Solvable Model of Two-Dimensional Dilaton-Gravity Coupled to a Massless Scalar Field
• Two-Dimensional Reduced Theory and General Static Solution for Uncharged Black p-Branes

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• Spinor couplings to dilaton gravity induced by the dimensional reduction of topologically massive gravity
• Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
• Symmetry operators for Dirac's equation on two-dimensional spin manifolds
• Ghost-free infinite-derivative dilaton gravity in two dimensions
• Constraints in two-dimensional Dilaton Gravity with Fermions