Vanishing Hawking Radiation from a Uniformly Accelerated Black Hole

TL;DR

This paper investigates quantum fields around uniformly accelerated black holes and finds conditions where Hawking radiation vanishes for inertial observers despite a nonzero temperature, due to a trivial Bogolubov transformation.

Contribution

It reveals a specific acceleration condition where Hawking radiation is absent for inertial observers, highlighting a novel quantum effect in accelerated black hole spacetimes.

Findings

Hawking radiation can vanish at a particular acceleration.

Inertial observers see no radiation despite nonzero temperature.

Co-moving observers detect a balance between black hole radiation and acceleration heat bath.

Abstract

We consider quantum fields around uniformly accelerated black holes. At a particular value of the acceleration, the Bogolubov transformation which would be responsible for the late-time Hawking radiation, is found to be trivial. When this happens, Hawking's thermal radiation, Doppler-shifted or not, is absent to the asymptotic inertial observers despite the nonzero Hawking temperature, while the co-moving observers find the black hole radiance exactly balanced by the acceleration heat bath. After a brief comparison to the classical system of a uniformly accelerated charge, we close with two important comments. (Phys. Rev. Lett. 75 (1995) 382)