Casimir Effect in 2D Stringy Black Hole Backgrounds

Abstract

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)

References in corpus (3)

• Casimir Effect, Hawking Radiation and Trace Anomaly
• Bogoliubov Coefficients of 2D Charged Black Holes
• Entropy of massive fields near a black hole and vacuum polarization: thermodynamics without statistical mechanics

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