Casimir Effect in 2D Stringy Black Hole Backgrounds
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We consider the two-dimensional "Schwarzschild" and "Reissner-Nordstrom" stringy black holes as systems of Casimir type. We explicitly calculate the energy-momentum tensor of a massless scalar field satisfying Dirichlet boundary conditions on two one-dimensional "walls". These results are obtained using the Wald's axioms. Thermodynamical quantities such as pressure, specific heat, isothermal compressibility and entropy of the two-dimensional stringy black holes are calculated. A comparison is made between the obtained results and the laws of thermodynamics. The results obtained for the extremal (Q=M) stringy two-dimensional charged black hole are identical in all three different vacua used; a fact that indicates its quantum stability.
RevTeX, 27 pages, no figures, to appear in Phys.Rev. D, Vol 64 (Dec. 2001)
RevTeX, 27 pages, no figures, to appear in Phys.Rev. D, Vol 64 (Dec. 2001)