Constant Curvature Black Hole and Dual Field Theory

Details Constant Curvature Black Hole and Dual Field Theory Constant Curvature Black Hole and Dual Field Theory

2002-06-25

arxiv.org/abs/hep-th/0206223v4

Phys.Lett. B544 (2002) 176-182

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11 pages, no figures,v4: published version

Scientific paper

10.1016/S0370-2693(02)02498-X

We consider a five-dimensional constant curvature black hole, which is constructed by identifying some points along a Killing vector in a five-dimensional AdS space. The black hole has the topology M_4 times S^1, its exterior is time-dependent and its boundary metric is of the form of a three-dimensional de Sitter space times a circle, which means that the dual conformal field theory resides on a dynamical spacetime. We calculate the quasilocal stress-energy tensor of the gravitational background and then the stress-energy tenor of the dual conformal field theory. It is found that the trace of the tensor does indeed vanish, as expected. Further we find that the constant curvature black hole spacetime is just the "bubble of nothing" resulting from Schwarzschild-AdS black holes when the mass parameter of the latter vanishes.

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