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

Abstract

We present evidence for the existence of a quantum lower bound on the Bekenstein-Hawking temperature of black holes. The suggested bound is supported by a gedanken experiment in which a charged particle is dropped into a Kerr black hole. It is proved that the temperature of the final Kerr-Newman black-hole configuration is bounded from below by the relation $T_{\text{BH}}\times r_{\text{H}}>(\hslash /r_{\text{H}}{)}^2$, where $r_{\text{H}}$ is the horizon radius of the black hole.

arXiv comment7 pages

References in corpus (5)

• Entropy Bounds and Black Hole Remnants
• Sharp bounds on the critical stability radius for relativistic charged spheres
• Non-Archimedean character of quantum buoyancy and the generalized second law of thermodynamics
• Black-Hole Polarization and Cosmic Censorship
• Challenging the generalized second law

Cited by in corpus (5)

• Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity
• Cosmic censorship conjecture in a general Kerr-Newman black hole
• Decoding infrared imprints of quantum origins of black holes
• Black-hole evaporation, cosmic censorship, and a quantum lower bound on the Bekenstein-Hawking temperature
• Quantum thermodynamics in the interior of a Reissner-Nordström black-hole