Black holes in the Einstein–Gauss–Bonnet theory and the geometry of their thermodynamics—II

Biswas, Ritabrata; Chakraborty, Subenoy

doi:10.1007/s10509-009-0202-8

Cited by 14 publications

(6 citation statements)

References 24 publications

(34 reference statements)

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“…Some puzzling results arise also in connection with the use of different metrics in the equilibrium space [16][17][18][19], in the sense that for the same thermodynamic system the resulting geometry can be either flat or curved, depending on the chosen metric. Recently, in the analysis of Einstein-Gauss-Bonnet (EGB) black holes inconsistencies were also found [20][21][22]. In this work, we will focus on the study of EGB black holes and will clarify these inconsistencies.…”

Section: Introductionmentioning

confidence: 97%

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Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

2012

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We investigate the thermodynamic properties of 5D static and spherically symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii) EinsteinMaxwell-Gauss-Bonnet theory with negative cosmological constant, and in (iii) Einstein-Yang-Mills-Gauss-Bonnet theory. To formulate the thermodynamics of these black holes we use the Bekenstein-Hawking entropy relation and, alternatively, a modified entropy formula which follows from the first law of thermodynamics of black holes. The results of both approaches are not equivalent. Using the formalism of geometrothermodynamics, we introduce in the manifold of equilibrium states a Legendre invariant metric for each black hole and for each thermodynamic approach, and show that the thermodynamic curvature diverges at those points where the temperature vanishes and the heat capacity diverges.

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Section: Introductionmentioning

confidence: 97%

“…The signature, in turn, is fixed by the order of the phase transition under consideration. 1 Since in this work we will analyze second order phase transitions of EGB black holes [20][21][22], we choose the metric as…”

Section: Introductionmentioning

confidence: 99%

Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

2012

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“…More negativity of the value of the quintessence EoS implied more thermodynamically unstable nature of the concerned BH. Works for modified gravity BH also reveals that it is a tendency for BHs to become unstable as we shift further from the Einstein's general relativistic model [30]. In the present work, we mainly study the thermodynamic parameters, i.e., the mass of the BHs, Hawking temperature, surface gravity and also the thermal heat capacity at event horizon and the rate of emission of energy through event horizon.…”

Section: Introductionmentioning

confidence: 98%

Thermodynamic studies of different type of black holes: General uncertainty principle approach

Haldar

Biswas

2018

Mod. Phys. Lett. A

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We present an investigation on thermodynamics of two different types of black holes viz. Kiselev black hole (asymptotically flat) and Taub-NUT (non-asymptotically flat) black hole. We compute the thermodynamic variables like black hole's Hawking temperature, entropy at the black hole's event horizon. Further we derive the heat capacity and examine it to study the thermal stability of the black holes. We also calculate the rate of emission assuming the black holes radiate energy in terms of photons by tunneling. We represent all the parameters including the rate of emission of the black holes graphically and interpret them physically. We depict a comparative study of thermodynamics between the afroesaid types of black holes. Here we find the existence of a transition of phase. Finally, we obtain the quantumcorrected thermodynamics on the basis of general uncertainty principle and it is seen from the quantumcorrected entropy that it contains the logarithmic term. We offer comparative studies on joint effect of generalised uncertainty principle parameter α along with the concerned black holes' parameters on the thermodynamics.1 Thermodynamics and phase transitions in rotating Kiselev black hole have been studied in [27]. First order approximation of horizon is used to calculate thermodynamic features for all values of dark energy EoS-s. This work mainly focusses on the values of thermodynamic parameters like areas, entropies, horizon radii, surface gravity, surface temperatures etc for the event horizon as well as Cauchy horizon and found the thermodynamic products of those quantities. The types of phase transitions have been found as well. Different thermodynamic relations for Kiselev and dilaton black holes are studied in [28]. This work also deals with the thermodynamic products and tests which property is global and which is not.Previously, we observe some thermodynamic studies [29] of BHs, where it was concluded that if a BH is surrounded by quintessence, it is likely to have an unstable large black hole. More negativity of the value of the quintessence EoS implied more thermodynamically unstable nature of the concerned BH. Works for modified gravity BH also reveals that it is a tendency for BHs to become unstable as we shift further from the Einstein's general relativistic model [30]. In the present work, we mainly study the thermodynamic parameters, i.e., the mass of the BHs, Hawking temperature, surface gravity and also the thermal heat capacity at event horizon and the rate of emission of energy through event horizon. Then we reexamine the same for different BHs with the GUP. Our first motivation is to analyse the joint effect of the quintessence and inclusion of GUP for a Kiselev BH). For even modified gravity theories, it was shown [31] that NUT solutions are not thermally stable. Our second motivation for this letter is to check what will be the effect of inclusion of GUP on the unstable nature of Taub-NUT BH. Kiselev metric is a general kind of spherically symmetric black hole solution which can take th...

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“…In AdS space, large BHs are thermodynamically stable and have positive specific heats, get cooler due to its loss of mass. On the other hand, the small BHs are thermodynamically unstable and have negative specific heat, get hotter due to their negative specific heats and eventually evaporate [5,6,7,7,8,9,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis

Haldar,

Biswas

2019

Preprint

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We investigate the effect of thermal fluctuations on the thermodynamics of a Lovelock-AdS black hole. Taking the first order logarithmic correction term in entropy we analyze the thermodynamic potentials like Helmholtz free energy, enthalpy and Gibbs free energy. We find that all the thermodynamic potentials are decreasing functions of correction coefficient α. We also examined this correction coefficien tmust be positive by analysisng P −V diagram. Further we study the P-V criticality and stability and find that presence of logarithmic correction in it is necessary to have critical points and stable phases. When P-V criticality appears, we calculate the critical volume V c , critical pressure P c and critical temperature T c using different equations and show that there is no critical point for this black hole without thermal fluctuations. We also study the geometrothermodynamics of this kind of black holes. The Ricci scalar of the Ruppeiner metric is graphically analysed.

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Black holes in the Einstein–Gauss–Bonnet theory and the geometry of their thermodynamics—II

Cited by 14 publications

References 24 publications

Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

Thermodynamic studies of different type of black holes: General uncertainty principle approach

Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis

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