Casimir Effect in 2D Stringy Black Hole Backgrounds

TL;DR

This paper investigates the Casimir effect in two-dimensional stringy black hole backgrounds, calculating the energy-momentum tensor and thermodynamic properties to explore quantum stability and thermodynamic laws.

Contribution

It provides explicit calculations of the energy-momentum tensor and thermodynamic quantities for 2D stringy black holes using Wald's axioms, highlighting quantum stability in extremal cases.

Findings

Energy-momentum tensor computed for scalar fields in black hole backgrounds.

Thermodynamic quantities like pressure and entropy are derived and analyzed.

Extremal black holes show identical results across different vacua, indicating stability.

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.