Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity - INSPIRE

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Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity

Jun 14, 2020

23 pages

Published in:

Int.J.Mod.Phys.A 35 (2020) 22, 2050120

Published: Jul 28, 2020

e-Print:

2006.07775 [hep-th]

DOI:

10.1142/S0217751X20501201,
10.1142/S0217751X20501201. (publication)

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Abstract: (WSP)

Using the new normalized thermodynamic scalar curvature, we investigate the microstructures and phase transitions of black holes in massive gravity for horizons of various topologies. We find that the graviton mass enhances the repulsive interactions of small black holes and weakens the attractive interactions of large black holes, with possibility of new repulsive regions for microstructures in phase space. In addition, the repulsive interactions of small black hole are strong for spherical topology, followed by flat and hyperbolic topology; while, the attractive interactions of large black hole are strong for hyperbolic topology, followed by flat and weakest for spherical topology.

Note:

23 pages, 39 figures

04.70.-s
04.70.Bw
05.70.-a
05.70.Fh
Ruppeiner geometry
thermodynamics and phase transitions
black holes
massive gravity
black hole
critical phenomena

References(133)

Figures(30)

[1]

Metric geometry of equilibrium thermodynamics

F. Weinhold

- J.Chem.Phys. 63 (1975) 6, 2479
•
DOI:
- 10.1063/1.431689

[2]

Thermodynamics: A Riemannian geometric model

George Ruppeiner

- Phys.Rev.A 20 (1979) 4, 1608
•
DOI:
- 10.1103/PhysRevA.20.1608

[3]

Geometrothermodynamics of black holes

Hernando Quevedo
(
- Mexico U., ICN
)

- Gen.Rel.Grav. 40 (2008) 971-984
•
e-Print:
- 0704.3102
•
DOI:
- 10.1007/s10714-007-0586-0

[4]

A new approach toward geometrical concept of black hole thermodynamics

Seyed Hossein Hendi
(
- Shiraz U. and
- RIAAM, Maragha
)
,
Shahram Panahiyan
(
- Shiraz U.
)
,
Behzad Eslam Panah
(
- Shiraz U.
)
,
Mehrab Momennia
(
- Shiraz U.
)

- Eur.Phys.J.C 75 (2015) 10, 507
•
e-Print:
- 1506.08092
•
DOI:
- 10.1140/epjc/s10052-015-3701-5

[5]

Correspondence of phase transition points and singularities of thermodynamic geometry of black holes

- Eur.Phys.J.C 74 (2014) 99, 2681
•
e-Print:
- 1308.1543
•
DOI:
- 10.1140/epjc/s10052-013-2681-6

[6]

Thermodynamic curvature: pure fluids to black holes

George Ruppeiner
(
- New Coll. of Florida
)

- J.Phys.Conf.Ser. 410 (2013) 012138
•
e-Print:
- 1210.2011
•
DOI:
- 10.1088/1742-6596/410/1/012138

[7]

Riemannian geometry in thermodynamic fluctuation theory

George Ruppeiner
(
- Royal Holloway, U. of London
)

- Rev.Mod.Phys. 67 (1995) 605-659,
- Rev.Mod.Phys. 68 (1996) 313-313 (erratum)
•
DOI:
- 10.1103/RevModPhys.67.605

[8]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[9]

Black Holes and Thermodynamics

S.W. Hawking
(
- Caltech and
- Cambridge U.
)

- Phys.Rev.D 13 (1976) 191-197
•
DOI:
- 10.1103/PhysRevD.13.191

[10]

Black holes and entropy

Jacob D. Bekenstein
(
- Princeton U. and
- Texas U.
)

- Phys.Rev.D 7 (1973) 2333-2346
•
DOI:
- 10.1103/PhysRevD.7.2333

[11]

Generalized second law of thermodynamics in black hole physics

Jacob D. Bekenstein
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 3292-3300
•
DOI:
- 10.1103/PhysRevD.9.3292

[12]

The Four laws of black hole mechanics

- Commun.Math.Phys. 31 (1973) 161-170
•
DOI:
- 10.1007/BF01645742

[13]

Action Integrals and Partition Functions in Quantum Gravity

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2752-2756
•
DOI:
- 10.1103/PhysRevD.15.2752

[14]

Microscopic origin of the Bekenstein-Hawking entropy

Andrew Strominger
(
- UC, Santa Barbara
)
,
Cumrun Vafa
(
- Harvard U.
)

- Phys.Lett.B 379 (1996) 99-104
•
e-Print:
- hep-th/9601029
•
DOI:
- 10.1016/0370-2693(96)00345-0

[15]

Black hole entropy from loop quantum gravity

Carlo Rovelli
(
- Pittsburgh U.
)

- Phys.Rev.Lett. 77 (1996) 3288-3291
•
e-Print:
- gr-qc/9603063
•
DOI:
- 10.1103/PhysRevLett.77.3288

[16]

Black Hole Entropy Function, Attractors and Precision Counting of Microstates

Ashoke Sen
(
- Harish-Chandra Res. Inst.
)

- Gen.Rel.Grav. 40 (2008) 2249-2431
•
e-Print:
- 0708.1270
•
DOI:
- 10.1007/s10714-008-0626-4

[17]

Thermodynamics of Black Holes in anti-De Sitter Space

S.W. Hawking
(
- Cambridge U.
)
,
Don N. Page
(
- Penn State U.
)

- Commun.Math.Phys. 87 (1983) 577
•
DOI:
- 10.1007/BF01208266

[18]

Charged AdS black holes and catastrophic holography

Andrew Chamblin
(
- Cambridge U., DAMTP
)
,
Roberto Emparan
(
- Durham U., Dept. of Math. and
- Basque U., Bilbao
)
,
Clifford V. Johnson
(
- Kentucky U.
)
,
Robert C. Myers
(
- McGill U.
)

- Phys.Rev.D 60 (1999) 064018
•
e-Print:
- hep-th/9902170
•
DOI:
- 10.1103/PhysRevD.60.064018

[19]

Holography, thermodynamics and fluctuations of charged AdS black holes

Andrew Chamblin
(
- Cambridge U., DAMTP
)
,
Roberto Emparan
(
- Durham U., Dept. of Math. and
- Basque U., Bilbao
)
,
Clifford V. Johnson
(
- Kentucky U.
)
,
Robert C. Myers
(
- McGill U.
)

- Phys.Rev.D 60 (1999) 104026
•
e-Print:
- hep-th/9904197
•
DOI:
- 10.1103/PhysRevD.60.104026

[20]

P-V criticality of charged AdS black holes

David Kubiznak
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert B. Mann
(
- Waterloo U.
)

- JHEP 07 (2012) 033
•
e-Print:
- 1205.0559
•
DOI:
- 10.1007/JHEP07(2012)033

[21]

THE COSMOLOGICAL CONSTANT AS A CANONICAL VARIABLE

M. Henneaux
(
- Texas U.
)
,
C. Teitelboim
(
- Texas U.
)

- Phys.Lett.B 143 (1984) 415-420
•
DOI:
- 10.1016/0370-2693(84)91493-X

[22]

THE COSMOLOGICAL CONSTANT AS A THERMODYNAMIC BLACK HOLE PARAMETER

C. Teitelboim
(
- CECS, Valdivia and
- Texas U.
)

- Phys.Lett.B 158 (1985) 293-297
•
DOI:
- 10.1016/0370-2693(85)91186-4

[23]

The Cosmological Constant and General Covariance

M. Henneaux
(
- Texas U. and
- CECS, Valdivia
)
,
C. Teitelboim
(
- Texas U. and
- CECS, Valdivia
)

- Phys.Lett.B 222 (1989) 195-199
•
DOI:
- 10.1016/0370-2693(89)91251-3

[24]

Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories

Marco M. Caldarelli
(
- Trento U. and
- INFN, Trento
)
,
Guido Cognola
(
- Trento U. and
- INFN, Trento
)
,
Dietmar Klemm
(
- Trento U. and
- INFN, Trento
)

- Class.Quant.Grav. 17 (2000) 399-420
•
e-Print:
- hep-th/9908022
•
DOI:
- 10.1088/0264-9381/17/2/310

[25]

Classical and quantum thermodynamics of horizons in spherically symmetric space-times

T. Padmanabhan
(
- IUCAA, Pune
)

- Class.Quant.Grav. 19 (2002) 5387-5408
•
e-Print:
- gr-qc/0204019
•
DOI:
- 10.1088/0264-9381/19/21/306

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