Thermodynamics of Third Order Lovelock—Born—Infeld Black Holes

Yue, Rui-Hong; Zou, De-Cheng

doi:10.1088/0253-6102/56/5/10

Cited by 24 publications

(18 citation statements)

References 39 publications

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“…[3]. Reference [18] further studied their entropy and specific heat at constant charge. However, the expression of the entropy seems incomplete, for k is missing.…”

Section: Introductionmentioning

confidence: 99%

$$P$$ P – $$V$$ V criticality of topological black holes in Lovelock–Born–Infeld gravity

Liu

2014

Eur. Phys. J. C

153

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To understand the effect of third order Lovelock gravity, P-V criticality of topological AdS black holes in Lovelock-Born-Infeld gravity is investigated. The thermodynamics is further explored with some more extensions and in some more detail than the previous literature. A detailed analysis of the limit case β → ∞ is performed for the sevendimensional black holes. It is shown that, for the spherical topology, P-V criticality exists for both the uncharged and the charged cases. Our results demonstrate again that the charge is not the indispensable condition of P-V criticality. It may be attributed to the effect of higher derivative terms of the curvature because similar phenomenon was also found for Gauss-Bonnet black holes. For k = 0, there would be no P-V criticality. Interesting findings occur in the case k = −1, in which positive solutions of critical points are found for both the uncharged and the charged cases. However, the P-v diagram is quite strange. To check whether these findings are physical, we give the analysis on the non-negative definiteness condition of the entropy. It is shown that, for any nontrivial value of α, the entropy is always positive for any specific volume v. Since no P-V criticality exists for k = −1 in Einstein gravity and Gauss-Bonnet gravity, we can relate our findings with the peculiar property of third order Lovelock gravity. The entropy in third order Lovelock gravity consists of extra terms which are absent in the Gauss-Bonnet black holes, which makes the critical points satisfy the constraint of non-negative definiteness condition of the entropy. We also check the Gibbs free energy graph and "swallow tail" behavior can be observed. Moreover, the effect of nonlinear electrodynamics is also included in our research. a

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“…[3]. Reference [18] further studied their entropy and specific heat at constant charge. However, the expression of the entropy seems incomplete, for k is missing.…”

Section: Introductionmentioning

confidence: 99%

$$P$$ P – $$V$$ V criticality of topological black holes in Lovelock–Born–Infeld gravity

Liu

2014

Eur. Phys. J. C

153

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“…which is found in [26] as (β, ) → 0. In addition the limit α → 0 further reduces it to the temperature for the Schwarzschild black hole, T h → 1/πr h .…”

Section: The Mass Function M(r H ) Is Plotted As a Function Of R H Fomentioning

confidence: 67%

“…which is found in [26] as (β, ) → 0. We have just seen above that from the positive mass condition, a + 5(2r 3 h + αr h ) > 0 for r h > r 0 .…”

Section: The Mass Function M(r H ) Is Plotted As a Function Of R H Fomentioning

confidence: 67%

“…which is found in [26] in the limits of the vanishing BornInfeld electromagnetic field and cosmological constant, (β, ) → 0. Furthermore, in the limits (a, α) → 0 it leads to M → 5 16 π 2 r 4 h , which is the mass for the Schwarzschild black hole in seven dimensions [13].…”

Section: Thermodynamics Of Black Holesmentioning

confidence: 71%

“…Also, it is worthwhile to notice that the entropy is expressed independently of a. A similar case occurs in [26]. Actually it can be seen that this The heat capacity is expressed by…”

Section: The Mass Function M(r H ) Is Plotted As a Function Of R H Fomentioning

confidence: 81%

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Lovelock black holes in a string cloud background

2015

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We present an exact static, spherically symmetric black hole solution to the third-order Lovelock gravity with a string cloud background in seven dimensions for the special case when the second-and third-order Lovelock coefficients are related viaα 2 2 = 3α 3 (≡ α 2 ). Further, we examine thermodynamic properties of this black hole to obtain exact expressions for mass, temperature, heat capacity and entropy, and also perform the thermodynamic stability analysis. We see that a string cloud background has a profound influence on the horizon structure, thermodynamic properties, and the stability of black holes. Interestingly the entropy of the black hole is unaffected due to the string cloud background. However, the critical solution for thermodynamic stability is affected by the string cloud background.

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Black holes surrounded by modified Chaplygin gas in Lovelock theory of gravity

Chen

Xing

2022

Annals of Physics

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Thermodynamics of Third Order Lovelock—Born—Infeld Black Holes

Cited by 24 publications

References 39 publications

$$P$$ P – $$V$$ V criticality of topological black holes in Lovelock–Born–Infeld gravity

$$P$$ P – $$V$$ V criticality of topological black holes in Lovelock–Born–Infeld gravity

Lovelock black holes in a string cloud background

Black holes surrounded by modified Chaplygin gas in Lovelock theory of gravity

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