Action of the gravitational field on the dynamical Casimir effect
arXiv:0809.3706 · doi:10.1088/0264-9381/26/10/105014
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.
arXiv comment2 Figures, comments are welcome
References in corpus (14)
- New Developments in the Casimir Effect
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Motion Induced Radiation from a Vibrating Cavity
- A novel experimental approach for the detection of the dynamic Casimir effect
- How Does Casimir Energy Fall?
- Dynamical Casimir effect at finite temperature
- Detectability of dissipative motion in quantum vacuum via superradiance
- Dynamical Casimir Effect in a Leaky Cavity at Finite Temperature
- Analogue of cosmological particle creation in an ion trap
- Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field
- The dynamical Casimir effect in braneworlds
- Thermofield Dynamics and Casimir Effect for Fermions
- Gravitational effects on a rigid Casimir cavity
- Gravitational and Inertial Mass of Casimir Energy
Cited by in corpus (6)
- Dynamical Casimir effect in curved spacetime
- Classical and quantum field theory in a box with moving boundaries: A numerical study of the Dynamical Casimir Effect
- Thermodynamic entropy production in the dynamical Casimir effect
- Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit
- Dynamical Casimir effect with screened scalar fields
- Atom-field dynamics in curved spacetime