Novel relations in massive gravity at Hawking-Page transition - INSPIRE

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Novel relations in massive gravity at Hawking-Page transition

Jul 9, 2021

22 pages

Published in:

Phys.Rev.D 104 (2021) 10, 104049

Published: Nov 15, 2021
and
Published: Nov 24, 2021

e-Print:

2107.04504 [gr-qc]

DOI:

10.1103/PhysRevD.104.104049 (publication)

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Abstract: (APS)

Sign and magnitude of Ruppeiner’s curvature

R_{N}

is an empirical indicator of the respective nature and strength of microstructures of a thermodynamic system. We investigate the properties of

R_{N}

for black holes in massive gravity and show that the behavior of microstructures at the HP transition point is significantly altered by the graviton mass and horizon topology. In general, depending on the massive gravity parameters,

R_{N}

at HP transition point can be positive (negative) or even zero indicating respectively the dominance of repulsive (attractive) or non-interacting behaviors. In particular, presence of a weak repulsive type interaction is inferred in the large black hole branch at small pressures, which is new and in contrast to the known behavior of only attractive interactions for this branch in massless gravity. Further, when the graviton mass takes a critical value, the HP transition happens at zero temperature, where

R_{N}

turns out to be a universal constant, taking exactly the same value known for Schwarzchild black hole in AdS. Analysis of the geometry of general black holes in AdS close to the HP transition point via novel near horizon scaling limits, reveals the presence of fully decoupled Rindler spacetimes.

Note:

22 pages, 8 figures

gravitation: massive
graviton: mass
mass: gravitation
horizon: topology
temperature
black hole: Schwarzschild
space-time: Rindler
black hole: geometry
anti-de Sitter
thermodynamical

References(124)

Figures(14)

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