WAVE-PROPAGATION IN STOCHASTIC SPACETIMES - LOCALIZATION, AMPLIFICATION, AND PARTICLE CREATION

We study the novel effects associated with electromagnetic wave propag ation in a Robertson-Walker universe and the Schwarzschild spacetime w ith a small amount of metric stochasticity. We find that localization of electromagnetic waves occurs in a Robertson-Walker universe with ti me-independent metric stochasticity, while time-dependent metric stoch asticity induces exponential instability in the particle production ra te, For the Schwarzschild metric, time-independent randomness can decr ease the total luminosity of Hawking radiation due to multiple scatter ing of waves outside the black hole and gives rise to event horizon fl uctuations and thus fluctuations in the Hawking temperature.