Gravitation in 2+1 dimensions

Details Gravitation in 2+1 dimensions Gravitation in 2+1 dimensions

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.2555c&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 8, 15 April 1991, pp.2555-2565

Mathematics

Logic

40

Scientific paper

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.

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