O ct 2 00 1 Casimir Effect in 2 D Stringy Black Hole Backgrounds

We consider the two-dimensional “Schwarzschild” and “Reissner-Nordström” 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. PACS 04.70.Dy Typeset using REVTEX Electronic address: [email protected] Electronic address: [email protected] Electronic address: [email protected] Electronic address: [email protected] 1