Black-hole evaporation, cosmic censorship, and a quantum lower bound on the Bekenstein-Hawking temperature

Abstract

The semi-classical Hawking evaporation process of Reissner-Nordström black holes is analyzed. It is shown that this quantum mechanism may turn a near-extremal black-hole spacetime with $T_{\text{BH}}\lesssim {\hslash }^2/G^2{M}^3$ into an horizonless naked singularity, thus violating the Penrose cosmic censorship conjecture. It is therefore conjectured that, within the framework of a self-consistent quantum theory of gravity, the Bekenstein-Hawking temperature should be bounded from below by the simple relation $T_{\text{BH}}\gtrsim {\hslash }^2/G^2{M}^3$.

8 pages

References in corpus (1)

• A lower bound on the Bekenstein-Hawking temperature of black holes

Cited by in corpus (2)

• Hawking radiation may violate the Penrose cosmic censorship conjecture
• Quantum thermodynamics in the interior of a Reissner-Nordström black-hole