Why is Black Hole Entropy Affected by Rotation?

Abstract

It is well known that an asymptotically flat four-dimensional Kerr black hole has a smaller (specific) entropy than a Schwarzschild black hole of the same mass. We show here that the same is true if the temperature, rather than the mass, is held fixed; and we also show that an asymptotically AdS${}_5$-Kerr black hole has a smaller specific entropy than an AdS${}_5$-Schwarzschild black hole of the same temperature, except in a negligibly small class of special examples. The AdS${}_5$-Kerr case is particularly interesting, because here the gauge-gravity duality applies; if we further accept that there is a useful analogy between the strongly coupled field theories dual to AdS black holes and the best-understood example of a strongly coupled fluid (the Quark-Gluon Plasma), then we can apply QGP theory to predict the behaviour of black hole entropy in this case. The prediction agrees with our study of AdS${}_5$-Kerr entropy. The hope is that such results might lead ultimately to an identification of black hole microstates.

Added a useful reference (arXiv:2010.03575 [hep-th]); 32 pages, 12 figures

References in corpus (16)

• Color superconductivity in dense quark matter
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Cygnus X-1 contains a 21-solar mass black hole -- implications for massive star winds
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• General-relativistic precession in a black-hole binary
• Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
• Almost all extremal black holes in AdS are singular
• Inhomogeneous chiral condensation under rotation in the holographic QCD
• QCD phase structure under rotation
• Black Tsunamis and Naked Singularities in AdS
• Hypercritical Accretion for Black Hole High Spin in Cygnus X-1
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• Cosmological Magnetic Fields from Primordial Kerr-Newman Black Holes
• High temperature AdS black holes are low temperature quantum phonon gases
• Black hole entropy and long strings
• Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars

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