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Numerical solutions to dilaton gravity models and the semiclassical singularity

J. D. Hayward

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom

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Phys. Rev. D 52, 7037 – Published 15 December, 1995

DOI: https://doi.org/10.1103/PhysRevD.52.7037

Abstract

A general homogeneous two-dimensional dilaton gravity model considered recently by Lemos and Sà, is given quantum matter Polyakov corrections and is solved numerically for several static, equilibrium scenarios. Classically the dilaton field ranges the whole real line, whereas in the semiclassical theory, with the usual definition, it is always below a certain critical value at which a singularity appears. We give solutions for both sub- and supercritical dilaton fields. The pasting together of the spacetime on both sides of a singularity in semiclassical planar general relativity is discussed. © 1995 The American Physical Society.

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Phys. Rev. D 52, 7037– Published 15 December, 1995
  • Received 18 July 1995

© 1995 American Physical Society

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