Thermodynamics of black string from Rényi entropy in de Rham–Gabadadze–Tolley massive gravity theory

Sriling, Peerawat; Nakarachinda, Ratchaphat; Wongjun, Pitayuth

doi:10.1088/1361-6382/ac750b

Cited by 6 publications

(4 citation statements)

References 80 publications

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“…In particular, a solution of black string in the usual four-dimensional spacetime in cylindrical coordinates was found by Lemos in [11]. Since then, these black string solutions have been used in several works [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Black strings in asymptotically safe gravity

Nilton,

Alencar,

Costa Filho

2024

Phys. Scr.

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In this paper, we study black strings in asymptotic safety gravity (ASG) scenario. The ASG approach is introduced by implementing gravitational and cosmological running coupling constants directly in the black string metric. We calculate the Hawking temperature, entropy, and heat capacity of the improved black string metric in two cases: considering the cosmological constant fixed in some fixed point and the general case where both Newton's constant and cosmological constant are improved. For the identification of the scale moment we used an general inverse law setting $k(r)\sim 1/r^{n}$. We show that improving only the Newton's constant the problem of singularity is solved for the identifications with $n>1$. However, if the cosmological constant is also running the singularity persists in the solution. Also, we show that the ASG effects predicts the presence of a remnant mass in the final evaporation process. Besides that, a logarithmic correction is observed in the entropy. However, a running cosmological constant introduces new correction terms to the entropy beyond that. We show that the improved black string solution remains stable, as in the usual case. Phase transitions are not observed in both cases studied here.

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Section: Introductionmentioning

confidence: 99%

Black strings in asymptotically safe gravity

Nilton,

Alencar,

Costa Filho

2024

Phys. Scr.

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“…Accordingly, there are several investigations on the non-extensive nature of the black holes. [58,[62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80] One of the useful choices of the non-extensive entropy is the Tsallis entropy. [81,82] However, by using Tsallis statistics, it is not easy to define a proper temperature which is the state variable based on the notion of maximum entropy.…”

Section: Introductionmentioning

confidence: 99%

Rényi Holographic Dark Energy

Nakarachinda,

Pongkitivanichkul,

Samart

et al. 2024

Fortschritte der Physik

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In this work, the holographic dark energy model is constructed by using the non‐extensive nature of the Schwarzschild black hole via the Rényi entropy. Due to the non‐extensivity, the black hole can be stable under the process of fixing the non‐extensive parameter. A change undergoing such a process would then motivate us to define the energy density of the Rényi holographic dark energy (RHDE). As a result, the RHDE with choosing the characteristic length scale as the Hubble radius provides the late‐time expansion without the issue of causality. Remarkably, the proposed dark energy model contains the non‐extensive length scale parameter additional to the standard model. The cosmic evolution can be characterized by comparing the size of the Universe to this length scale. Moreover, the preferable value of the non‐extensive length scale is determined by fitting the model to recent observations. The results of this work would shed light on the interplay between the thermodynamic description of the black hole with non‐extensivity and the classical gravity description of the evolution of the Universe.

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“…As a viable model of gravity to address cosmological mysteries, there have been studies on the dRGT massive gravity in many respects. These include several static and spherically symmetric black hole solutions in the dRGT massive gravity and their thermodynamic properties [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], accretion disk around a dRGT black hole [23], greybody factor [24][25][26], quasinormal modes [27,28], black string solutions [29,30] and their thermodynamics [31], and constraining the model's parameters using the observational data [32,33], etc. The dRGT massive gravity can have a black hole in the asymptotic background spacetime as anti-de Sitter (AdS) and dS, depending on the values of parameters.…”

Section: Introductionmentioning

confidence: 99%

“…Finally, for the separated system, the phase transition between the non-black hole and the black hole can be analyzed and the Hawking-Page phase transition is the first-order phase transition. For the effective system, the thermodynamic quantities can be defined by using the first law of thermodynamics as dM = T eff dS + V eff d P where the mass M is thought as the chemical enthalpy and the total entropy obeys the following addition rule, S = S R 1 + S R 2 , as seen in [31,43]. The local stability of the black hole can be analyzed by using the same steps as done in the separated system, from which the lower bound on λ can be obtained.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of asymptotically de Sitter black hole in dRGT massive gravity from Rényi entropy

et al. 2022

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The thermodynamic properties of the de Rham–Gabadadze–Tolley (dRGT) black hole in the asymptotically de Sitter (dS) spacetime are investigated by using Rényi entropy. It has been found that the black hole with asymptotically dS spacetime described by the standard Gibbs–Boltzmann statistics cannot be thermodynamically stable. Moreover, there generically exist two horizons corresponding to two thermodynamic systems with different temperatures, leading to a nonequilibrium state. Therefore, in order to obtain the stable dRGT black hole, we use the alternative Rényi statistics to analyze the thermodynamic properties in both the separated system approach and the effective system approach. Interestingly, we found that it is possible concurrently obtain positive pressure and volume for the dRGT black hole while it is not for the Schwarzschild-de Sitter (Sch-dS) black hole. Furthermore, the bounds on the nonextensive parameter for which the black hole being thermodynamically stable are determined. In addition, the key differences between the systems described by different approaches, e.g., temperature profiles and types of the Hawking–Page phase transition are pointed out.

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Thermodynamics of black string from Rényi entropy in de Rham–Gabadadze–Tolley massive gravity theory

Cited by 6 publications

References 80 publications

Black strings in asymptotically safe gravity

Black strings in asymptotically safe gravity

Rényi Holographic Dark Energy

Thermodynamics of asymptotically de Sitter black hole in dRGT massive gravity from Rényi entropy

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