Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant
arXiv:hep-th/0301149 · doi:10.1103/PhysRevD.68.024015
Abstract
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.
arXiv comment20 pages, LaTeX, minor corrections, comments and clarifications added, version to appear in Phys. Rev. D
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- Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetime
- The Energy-Momentum Tensor in the 1+1 dimensional non-rotating BTZ black hole