Area law for black hole entropy in the SU(2) quantum geometry approach

Abstract

Black hole thermodynamics suggests that a black hole should have an entropy given by a quarter of the area of its horizon. Earlier calculations in U(1) loop quantum gravity have led to a dominant term proportional to the area, but there was a correction involving the logarithm of the area. We find however that SU(2) loop quantum gravity can provide an entropy that is strictly proportional to the area as expected from black hole thermodynamics.

final version

References in corpus (4)

• Black hole entropy quantization
• The SU(2) Black Hole entropy revisited
• Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy
• Fine-grained state counting for black holes in loop quantum gravity

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• Bouncing universe of entropy-corrected Friedmann equations
• The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
• Aspects of quantum gravity
• Quantum and classical areas of black hole thermodynamics
• Black hole entropy with and without log correction in loop quantum gravity