Quantum Effects in the Presence of Expanding Semi-Transparent Spherical Mirrors

TL;DR

This paper investigates quantum effects caused by expanding semi-transparent spherical mirrors in flat spacetime, deriving explicit expressions for fluctuations, stress-energy tensor, and energy fluxes, revealing how such dynamic boundaries influence quantum fields.

Contribution

It provides the first detailed analysis of quantum field behavior near expanding spherical mirrors, including explicit formulas for fluctuations and energy fluxes in higher-dimensional spacetime.

Findings

Explicit formulas for stress-energy tensor and fluctuations.

Energy fluxes at null infinity depend on mirror expansion.

Quantum effects are significantly influenced by mirror dynamics.

Abstract

We study quantum effects in the presence of a spherical semi-transparent mirror or a system of two concentric mirrors which expand with a constant acceleration in a flat D-dimensional spacetime. Using the Euclidean approach, we obtain expressions for fluctuations and the renormalized value of stress-energy tensor for a scalar non-minimally coupled massless field. Explicit expressions are obtained for the energy fluxes at the null infinity generated by such mirrors in the physical spacetime and their properties are discussed.