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Phys. Rev. D 60, 024010 (1999) [7 pages]

Gravity from topological field theory

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J. Gegenberg*
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

R. B. Mann
Department of Physics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Institute for Theoretical Physics, University of California Santa Barbara, Santa Barbara, California, 93106-4030

Received 23 February 1999; published 14 June 1999

We construct a topological field theory which, on the one hand, generalizes BF theories in that there is a non-trivial coupling to “topological matter fields;” and, on the other, generalizes the three-dimensional model of Carlip and Gegenberg to arbitrary dimensional manifolds. Like the three dimensional model, the theory can be considered to describe a gravitational field interacting with topological matter. In particular, in two dimensions, the model is that of gravity on a torus. In four dimensions, the model is shown to admit constant curvature black hole solutions.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.024010
DOI:
10.1103/PhysRevD.60.024010
PACS:
04.50.+h, 04.70.Dy

*Email address: lenin@math.unb.ca

Email address: mann@itp.ucsb.edu