Chronology Protection in Two-Dimensional Dilaton Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, plain Tex, phyzzx, TIT/HEP-218/COSMO-29

Scientific paper

10.1103/PhysRevD.49.595

The global structure of 1 + 1 dimensional compact Universe is studied in two-dimensional model of dilaton gravity. First we give a classical solution corresponding to the spacetime in which a closed time-like curve appears, and show the instability of this spacetime due to the existence of matters. We also observe quantum version of such a spacetime having closed timelike curves never reappear unless the parameters are fine-tuned.

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