The dualities of 3D dilaton gravity

Details The dualities of 3D dilaton gravity The dualities of 3D dilaton gravity

1996-06-17

arxiv.org/abs/gr-qc/9606048v1

Phys.Rev.D54:7378-7385,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTex file, no figures

Scientific paper

10.1103/PhysRevD.54.7378

We investigate Brans-Dicke dilaton gravity theories in 2+1 dimensions. We show that the reduced field equations for solutions with diagonal metric and depending only on one spacetime coordinate have a continuous O(2) symmetry. Using this symmetry we derive general static and cosmological solutions of the theory. The action of the discrete group O(2,Z) on the space of the solutions is discussed. Three-dimensional string effective theory and three-dimensional general relativity are discussed in detail. In particular, we find that the previously discovered black string solution is dual to a spacetime with a conical singularity.

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