Phase transitions in higher derivative gravity

Dey, Tanay K.; Mukherji, Sudipta; Mukhopadhyay, Soumik; Sarkar, Saeed

doi:10.1088/1126-6708/2007/04/014

Cited by 36 publications

(78 citation statements)

References 51 publications

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“…The similar and related works on the thermodynamics of the GBAdS were carried out in Ref. [13,25]. We point out that the thermodynamic properties of GBAdS are closely related to their dynamical stabilities and the expressions of QN frequencies.…”

Section: Introductionsupporting

confidence: 53%

“…Evidently, there is a change of the dominance at the critical temperature: from thermal radiation to black hole [8]. On the other hand, it was suggested that there exists a different phase transition (HP1) between the small black hole with positive heat capacity (SBH + ) and LBH + in the RNAdS for fixed charge Q < Q c [10,11,12] and GBAdS [6,13].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics of Gauss–Bonnet black holes revisited

Myung

Park

2008

Eur. Phys. J. C

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We investigate the Gauss-Bonnet black hole in five dimensional anti-de Sitter spacetimes (GBAdS). We analyze all thermodynamic quantities of the GBAdS, which is characterized by the Gauss-Bonnet coupling c and mass M , comparing with those of the Born-Infeld-AdS (BIAdS), Reissner-Norström-AdS black holes (RNAdS), SchwarzschildAdS (SAdS), and BTZ black holes. For c < 0 we cannot obtain the black hole with positively definite thermodynamic quantities of mass, temperature, and entropy because the entropy does not satisfy the area-law. On the other hand, for c > 0, we find the BIAdS-like black hole, showing that the coupling c plays the role of pseudo-charge. Importantly, we could not obtain the SAdS in the limits of c → 0, which means that the GBAdS is basically different from the SAdS. In addition, we clarify the connections between thermodynamic and dynamical stability. Finally, we also conjecture that if a black hole is big and thus globally stable, its quasinormal modes may take analytic expressions.

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Section: Introductionsupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Thermodynamics of Gauss–Bonnet black holes revisited

Myung

Park

2008

Eur. Phys. J. C

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“…The work of Hawking and Page 17 proved that there is a phase transition between thermal AdS state and AdS black hole in 4 dimensions as the temperature changes. And later the black hole phase transition has been extended and indicates that there exist different phase transitions under various circumstances 18,19,20,21,22,23,24,25 . The phase transition is always identified with the sign change of heat capacity.…”

Section: Second Order Phase Transitionmentioning

confidence: 99%

Phase transition, quasinormal modes and Hawking radiation of Schwarzschild black hole in quintessence field

Tharanath

Varghese

Kuriakose³

2014

Mod. Phys. Lett. A

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Black hole thermodynamic stability can be determined by studying the nature of heat capacity of the system. For Schwarzschild black hole the heat capacity is negative, but in the quintessence field this system shows a second order phase transition, implying the existence of a stable phase. We further discuss the equation of state of the present system. While analyzing the quasinormal modes, we find that the massive scalar quasinormal mode frequencies in the complex ω plane shows a dramatic change when we plot it as a progressive function of quintessence state parameter. We also find the Hawking temperature of the system via the method of tunneling.

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“…The partition function is given by 0). This is taken from [7] This model was studied in some detail in the original paper [2] and was further reviewed in section 5 of [7]. We will be very brief here in describing the model.…”

Section: Boundarymentioning

confidence: 99%

A comparative note on tunneling in AdS and in its boundary matrix dual

Bhamidipati

Mukherji²,

Sahay³

et al. 2012

J. High Energ. Phys.

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For charged black hole, within the grand canonical ensemble, the decay rate from thermal AdS to the black hole at a fixed high temperature increases with the chemical potential. We check that this feature is well captured by a phenomenological matrix model expected to describe its strongly coupled dual. This comparison is made by explicitly constructing the kink and bounce solutions around the de-confinement transition and evaluating the matrix model effective potential on the solutions.

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Phase transitions in higher derivative gravity

Cited by 36 publications

References 51 publications

Thermodynamics of Gauss–Bonnet black holes revisited

Thermodynamics of Gauss–Bonnet black holes revisited

Phase transition, quasinormal modes and Hawking radiation of Schwarzschild black hole in quintessence field

A comparative note on tunneling in AdS and in its boundary matrix dual

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