Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant

Details Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant

2003-01-21

arxiv.org/abs/hep-th/0301149v3

Phys.Rev. D68 (2003) 024015

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, minor corrections, comments and clarifications added, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.024015

We treat the two-dimensional Achucarro-Ortiz black hole (also known as (1+1) dilatonic black hole) as a Casimir-type system. The stress tensor of a massless scalar field satisfying Dirichlet boundary conditions on two one-dimensional "walls" ("Dirichlet walls") is explicitly calculated in three different vacua. Without employing known regularization techniques, the expression in each vacuum for the stress tensor is reached by using the Wald's axioms. Finally, within this asymptotically non-flat gravitational background, it is shown that the equilibrium of the configurations, obtained by setting Casimir force to zero, is controlled by the cosmological constant.

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