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Casimir Effect in 2D Stringy Black Hole Backgrounds

T. Christodoulakis·G. A. Diamandis·B. C. Georgalas·E. C. Vagenas
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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.

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T. Christodoulakis, G. A. Diamandis, B. C. Georgalas, E. C. Vagenas. 2001-10-10. Casimir Effect in 2D Stringy Black Hole Backgrounds. https://doi.org/10.1103/physrevd.64.124022

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