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Chronology protection in two-dimensional dilaton gravity

Takashi Mishima

Akika Nakamichi

  • Physical Science Laboratories, College of Science and Technology, Nihon University, Narashinodai, Funabashi, Chiba 274, Japan

  • Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan

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Phys. Rev. D 49, R595(R) – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.R595

Abstract

The global structure of a (1+1)-dimensional compact universe is studied in a two-dimensional model of dilaton gravity. First we give a classical solution corresponding to the spacetime in which a closed timelike curve appears, and show the instability of this spacetime due to the existence of matter. It is also shown that if quantum effects are included our spacetime does not possess closed timelike curves unless the parameters in the model are fine-tuned.

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Outline

Information

Phys. Rev. D 49, R595(R)– Published 15 January, 1994
  • Received 13 September 1993

© 1994 American Physical Society

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