Abstract: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 prof… Show more
“…We see that, the values of critical exponents are independent of GB, massive and cloud string parameters. The critical exponents in our model are the same as those mentioned in other articles [52]- [54], and all the models reviewed have the same scaling laws.…”
Following previous study about AdS-Schwarzschild black holes minimally coupled to a cloud of strings in the context of massive gravity [1] and inspired by strong connection between Gauss-Bonnet Gravity and heterotic string theory, in this paper, we first take into account the Gauss-Bonnet term and we study thermodynamics and critical behavior of these black holes in the extended phase space. The effects of Gauss-Bonnet, massive, and string cloud parameters on the criticality of these black holes has been investigated. It can be seen that the Gauss-Bonnet and massive parameters have opposite effects on the criticality and phase transition of the solutions. We also observe that the increase in the value of the string cloud parameter above a critical value, eliminates the van der Waals like behavior of these solutions. Also, the Joule-Thomson effect is not observed. Then we examine thermal stability of these black holes in canonical ensemble by calculating the heat capacity. In addition, we explore critical behavior in extended phase space by employing heat capacity and consequently, we observe that the results are in agreement with the previous results from the usual method in section 3.
“…We see that, the values of critical exponents are independent of GB, massive and cloud string parameters. The critical exponents in our model are the same as those mentioned in other articles [52]- [54], and all the models reviewed have the same scaling laws.…”
Following previous study about AdS-Schwarzschild black holes minimally coupled to a cloud of strings in the context of massive gravity [1] and inspired by strong connection between Gauss-Bonnet Gravity and heterotic string theory, in this paper, we first take into account the Gauss-Bonnet term and we study thermodynamics and critical behavior of these black holes in the extended phase space. The effects of Gauss-Bonnet, massive, and string cloud parameters on the criticality of these black holes has been investigated. It can be seen that the Gauss-Bonnet and massive parameters have opposite effects on the criticality and phase transition of the solutions. We also observe that the increase in the value of the string cloud parameter above a critical value, eliminates the van der Waals like behavior of these solutions. Also, the Joule-Thomson effect is not observed. Then we examine thermal stability of these black holes in canonical ensemble by calculating the heat capacity. In addition, we explore critical behavior in extended phase space by employing heat capacity and consequently, we observe that the results are in agreement with the previous results from the usual method in section 3.
“…The metric for a black hole in the string cloud given in [35,47] can be obtained from Eq. (18) with q = −a and ω q = −1/(D − 1) as…”
Section: D-dimensional Black Holes Surrounded By Quintessencementioning
confidence: 99%
“…(50) implies that the SchwarzschildTangherlini black hole is thermodynamically unstable [35]. Equation (47) suggests that the heat capacity depends on quintessence, and also spacetime dimensions. In the limit q → 0 the heat capacity returns to the vacuum case [39].…”
Section: Lovelock Back Holes Surrounded By Quintessence Mattermentioning
Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A scalar field with a positive potential that yields an accelerating universe has been termed quintessence. We present exact black hole solutions in D-dimensional Lovelock gravity surrounded by quintessence matter and also perform a detailed thermodynamical study. Further, we find that the mass, entropy and temperature of the black hole are corrected due to the quintessence background. In particular, we find that a phase transition occurs with a divergence of the heat capacity at the critical horizon radius, and that specific heat becomes positive for r h < r c allowing the black hole to become thermodynamically stable.
“…The addition of scalar [18][19][20][21][22][23] and electromagnetic fields, both linear and non-linear, has almost become a routine, while exotic and phantom fields also found room of applications in the problem. A source that is less familiar is a cloud of strings [24][25][26][27][28][29][30][31][32][33][34], which was considered in Einstein's general relativity. Within this context in 3 + 1 dimensions the importance of a string cloud has been attributed to the action-at-a distance interaction between particles.…”
Section: Introductionmentioning
confidence: 99%
“…Within this context in 3 + 1 dimensions the importance of a string cloud has been attributed to the action-at-a distance interaction between particles. For a detailed geometrical description of a string cloud we refer to [24][25][26][27][28][29][30][31][32][33][34]. In this study we extend such a source to the f (R) = R n gravity which is a modified version of general relativity [35][36][37][38][39].…”
We present three parameters exact solutions with possible black holes in 2 + 1-dimensional f (R) = R n modified gravity coupled minimally to a cloud of strings. These three parameters are n, the coupling constant of the cloud of strings ξ , and an integration constant C. Although in general one has to consider each set of parameters separately, for n an even integer greater than one we give a unified picture providing black holes. For n ≥ 1 we analyze a null/timelike geodesic within the context of particle confinement.
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