Action of the gravitational field on the dynamical Casimir effect

TL;DR

This paper investigates how a gravitational field influences the dynamical Casimir effect by calculating particle creation in a cavity with a moving mirror within a weak gravitational field, revealing effects on particle production rates.

Contribution

It introduces a perturbative method to analyze the gravitational impact on the dynamical Casimir effect in a cavity with a moving mirror, extending previous studies to include gravitational influences.

Findings

Particle creation is affected by gravitational fields.

Resonant conditions enhance particle production.

Results agree with existing literature in specific cases.

Abstract

In this paper we analyze the action of the gravitational field on the dynamical Casimir effect. We consider a massless scalar field confined in a cuboid cavity placed in a gravitational field described by a static and diagonal metric. With one of the plane mirrors of the cavity allowed to move, we compute the average number of particles created inside the cavity by means of the Bogoliubov coefficients computed through perturbative expansions. We apply our result to the case of an oscillatory motion of the mirror, assuming a weak gravitational field described by the Schwarzschild metric. The regime of parametric amplification is analyzed in detail, demonstrating that our computed result for the mean number of particles created agrees with specific associated cases in the literature. Our results, obtained in the framework of the perturbation theory, are restricted, under resonant conditions, to a short-time limit.