Casimir effect for scalar fields with Robin boundary conditions in Schwarzschild background

Abstract

The stress tensor of a massless scalar field satisfying Robin boundary conditions on two one-dimensional wall in two-dimensional Schwarzschild background is calculated. We show that vacuum expectation value of stress tensor can be obtained explicitly by Casimir effect, trace anomaly and Hawking radiation.

10 pages, no figures

References in corpus (4)

• Zeta Functions and the Casimir Energy
• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• Casimir energy for spherical shell in Schwarzchild black hole background

Cited by in corpus (2)

• Anomalies of the Achucarro-Ortiz black hole
• On the Global Casimir Effect in the Schwarzschild Spacetime