Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space

Mahish, Sandip; Chandrasekhar, Bhamidipati

doi:10.1103/PhysRevD.99.106012

Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space

Feb 24, 2019

13 pages

Published in:

Phys.Rev.D 99 (2019) 10, 106012

Published: May 22, 2019

e-Print:

1902.08932 [hep-th]

DOI:

10.1103/PhysRevD.99.106012

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Abstract: (APS)

We study the onset of chaos due to temporal and spatially periodic perturbations in charged Gauss-Bonnet AdS black holes in extended thermodynamic phase space, by analyzing the zeros of the appropriate Melnikov functions. Temporal perturbations coming from a thermal quench in the unstable spinodal region of P-V diagram may lead to chaos when a certain perturbation parameter γ saturates a critical value, involving the Gauss-Bonnet coupling α and the black hole charge Q. A general condition following from the equation of state is found, which can rule out the existence of chaos in any black hole. Using this condition, we find that the presence of charge is necessary for chaos under temporal perturbations. In particular, chaos is absent in neutral Gauss-Bonnet and Lovelock black holes in general dimensions. Chaotic behavior continues to exist under spatial perturbations, irrespective of whether the black hole carries a charge or not.

Note:

17 pages, 15 figures;v2 minor changes, added references;v3 20 pages, 19 figures, improved introduction

String theory, quantum gravity, gauge/gravity duality
black hole: anti-de Sitter
black hole: charge
quenching: thermal
dimension: 5
perturbation
chaos
Gauss-Bonnet term
phase space
thermodynamics

References(76)

Figures(11)

[1]

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

[2]

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

[3]

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

[3]

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

[4]

Black Holes and Thermodynamics

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

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

[5]

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

[6]

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

[7]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[7]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1