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arXiv · hep-th/9508090

Numerical Solutions of Dilaton Gravity and the Semi-Classical Singularity

Justin Hayward
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Abstract

A general homogeneous two dimensional dilaton gravity model considered recently by Lemos and S\` a, is given quantum matter Polyakov corrections and is solved numerically for several static, equilibrium scenarii. Classically the dilaton field ranges the whole real line, whereas in the semi-classical 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 super-critical dilaton field. The pasting together of the spacetime on both sides of a singularity in semi-classical planar general relativity is discussed.

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Justin Hayward. 1995-08-18. Numerical Solutions of Dilaton Gravity and the Semi-Classical Singularity. https://doi.org/10.1103/physrevd.52.7037

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