Gravitation in 2+1 dimensions

N. J. Cornish and N. E. Frankel
Phys. Rev. D 43, 2555 – Published 15 April 1991
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Abstract

We investigate gravitational field theories in 2+1-spacetime dimensions. The consequences of the lack of a Newtonian limit to general relativity are reviewed. Further insight into the implications of this fact is gained by considering a new, general class of exact hydrostatic solutions. We show that all self-gravitating polytropic structures have the same gravitational mass and produce matter-filled spaces of finite spatial volume. Other theories of gravitation are also considered and the behavior of one such theory with a Newtonian limit is studied. Cosmological solutions of these gravitational theories are also studied in detail.

  • Received 17 August 1990

DOI:https://doi.org/10.1103/PhysRevD.43.2555

©1991 American Physical Society

Authors & Affiliations

N. J. Cornish and N. E. Frankel

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

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Issue

Vol. 43, Iss. 8 — 15 April 1991

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