Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-22
Phys.Rev.D64:104015,2001
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 18 pages, v3: discussions and references added
Scientific paper
10.1103/PhysRevD.64.104015
We consider a class of domain-wall black hole solutions in the dilaton gravity with a Liouville-type dilaton potential. Using the surface counterterm approach we calculate the stress-energy tensor of quantum field theory (QFT) corresponding to the domain-wall black hole in the domain-wall/QFT correspondence. A brane universe is investigated in the domain-wall black hole background. When the tension term of the brane is equal to the surface counterterm, we find that the equation of motion of the brane can be mapped to the standard form of FRW equations, but with a varying gravitational constant on the brane. A Cardy-Verlinde-like formula is found, which relates the entropy density of the QFT to its energy density. At the moment when the brane crosses the black hole horizon of the background, the Cardy-Verlinde-like formula coincides with the Friedmann equation of the brane universe, and the Hubble entropy bound is saturated by the entropy of domain-wall black holes.
Cai Rong-Gen
Zhang Yuan-Zhong
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