Hints of quantum gravity from the horizon fluid

Bethan Cropp, Swastik Bhattacharya, and S. Shankaranarayanan
Phys. Rev. D 95, 024006 – Published 4 January 2017

Abstract

For many years, researchers have tried to glean hints about quantum gravity from black hole thermodynamics. However, black hole thermodynamics suffers from the problem of universality—at leading order, several approaches with different microscopic degrees of freedom lead to Bekenstein-Hawking entropy. We attempt to bypass this issue by using a minimal statistical mechanical model for the horizon fluid based on the Damour-Navier-Stokes (DNS) equation. For stationary asymptotically flat black hole spacetimes in general relativity, we show explicitly that, at equilibrium, the entropy of the horizon fluid is the Bekenstein-Hawking entropy. Further, we show that, for the bulk viscosity of the fluctuations of the horizon fluid to be identical to Damour, a confinement scale exists for these fluctuations, implying quantization of the horizon area. The implications and possible mechanisms from the fluid point of view are discussed.

  • Received 26 July 2016

DOI:https://doi.org/10.1103/PhysRevD.95.024006

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsFluid DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Bethan Cropp*, Swastik Bhattacharya, and S. Shankaranarayanan

  • School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), Trivandrum 695016, India

  • *bcropp,swastik,shanki@iisertvm.ac.in

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Issue

Vol. 95, Iss. 2 — 15 January 2017

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