Wave Propagation in Stochastic Spacetimes: Localization, Amplification and Particle Creation

TL;DR

This paper investigates how stochastic fluctuations in spacetime metrics affect electromagnetic wave behavior, revealing localization, instability, and fluctuations in black hole radiation, with implications for understanding wave dynamics in curved, stochastic spacetimes.

Contribution

It introduces the effects of stochastic metric fluctuations on wave localization, particle creation, and Hawking radiation, highlighting new phenomena in curved spacetime physics.

Findings

Localization of waves in stochastic Robertson-Walker universe

Exponential instability in particle production rate due to time-dependent stochasticity

Decreased Hawking radiation luminosity and horizon fluctuations from metric randomness

Abstract

Here we study novel effects associated with electromagnetic wave propagation in a Robertson-Walker universe and the Schwarzschild spacetime with a small amount of metric stochasticity. We find that localization of electromagnetic waves occurs in a Robertson-Walker universe with time-independent metric stochasticity, while time-dependent metric stochasticity induces exponential instability in the particle production rate. For the Schwarzschild metric, time-independent randomness can decrease the total luminosity of Hawking radiation due to multiple scattering of waves outside the black hole and gives rise to event horizon fluctuations and thus fluctuations in the Hawking temperature.