Energy conditions outside a dielectric ball

Abstract

We show analytically that the vacuum electromagnetic stress-energy tensor outside a ball with constant dielectric constant and permeability always obeys the weak, null, dominant, and strong energy conditions. There are still no known examples in quantum field theory in which the averaged null energy condition in flat spacetime is violated.

arXiv comment12 pages, RevTex4

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• Casimir Energies and General Relativity Energy Conditions
• Numerical results on Quantum Energy Inequalities in Integrable Models at the Two-Particle level