Quantum mechanics of charged black holes
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Date
2001
Authors
Barvinsky, Andrei
Das, Saurya
Kunstatter, Gabor
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We quantize the spherically symmetric sector of generic charged black holes. Thermal properties are incorporated by
imposing periodicity in Euclidean time, with period equal to the inverse Hawking temperature of the black hole. This leads to an
exact quantization of the area (A) and charge (Q) operators. For the Reissner–Nordström black hole, A = 4πG¯h(2n + p + 1)
and Q= me, for integers n,p,m. Consistency requires the fine structure constant to be quantized: e2/¯h = p/m2. Remarkably,
vacuum fluctuations exclude extremal black holes from the spectrum, while near extremal black holes are highly quantum
objects. We also prove that horizon area is an adiabatic invariant.
Description
Sherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.
Keywords
Quantum mechanics , Charged black holes , Black holes
Citation
Barvinsky, A., Das, S., & Kunstatter, G. (2001). Physics Letters B, 517, 415-420. doi:10.1016/S0370-2693(01)00983-2