The quantum mass gap of extremal black holes

Abstract

Using sophisticated string theory calculations, Maldacena and Susskind have intriguingly shown that near-extremal black holes are characterized by a {\it finite} mass gap above the corresponding zero-temperature (extremal) black-hole configuration. In the present compact paper we explicitly prove that the minimum energy gap ${\mathcal{E}}_{\text{gap}}={\hslash }^2/M^3$, which characterizes the mass spectra of near-extremal charged Reissner-Nordström black holes, can be inferred from a simple semi-classical analysis.

5 pages

References in corpus (7)

• Weak Cosmic Censorship: As Strong as Ever
• Dark energy from the string axiverse
• Warping the Weak Gravity Conjecture
• Modulated Natural Inflation
• Return of the quantum cosmic censor
• A proof of the weak gravity conjecture
• Universal charge-mass relation: From black holes to atomic nuclei