Vacuum fluctuations for spherical gravitational impulsive waves

Abstract

We propose a method for calculating vacuum fluctuations on the background of a spherical impulsive gravitational wave which results in a finite expression for the vacuum expectation value of the stress-energy tensor. The method is based on first including a cosmological constant as an auxiliary constant. We show that the result for the vacuum expectation value of the stress-energy tensor in second-order perturbation theory is finite if both the cosmological constant and the infrared parameter tend to zero at the same rate.

Class. Quantum Grav. 13(1996) 2683-2691

References in corpus (2)

• Generalized Unruh effect and Lamb shift for atoms on arbitrary stationary trajectories
• Particle Creation If a Cosmic String Snaps

Cited by in corpus (9)

• Vacuum Fluctuations of a massless spin-1/2 field around multiple cosmic strings
• The collision and snapping of cosmic strings generating spherical impulsive gravitational waves
• Impulsive cylindrical gravitational wave: one possible radiative form emitted from cosmic strings and corresponding electromagnetic response
• Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves
• The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves
• Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant
• Memory effect and BMS symmetries for extreme black holes
• Gravitational shock waves and vacuum fluctuations
• Comparison of Exact and perturbative Results for Two Metrics