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arXiv · 1809.04612

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

Shahar Hod
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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 $T_{\text{BH}}\lesssim \hbar^2/G^2M^3$ 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 $T_{\text{BH}}\gtrsim \hbar^2/G^2M^3$.

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Shahar Hod. 2018-09-12. Black-hole evaporation, cosmic censorship, and a quantum lower bound on the Bekenstein-Hawking temperature. https://doi.org/10.1140/epjc%2Fs10052-018-6128-y

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