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

Chunaksorn, Phuwadon; Hirunsirisawat, Ekapong; Nakarachinda, Ratchaphat; Tannukij, Lunchakorn; Wongjun, Pitayuth

doi:10.1140/epjc/s10052-022-11110-5

Cited by 9 publications

(3 citation statements)

References 69 publications

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“…Rényi entropy can explore the nuances of BH information and its connection to quantum gravity, and it has made a significant impact on the thermodynamics of BHs. It can be calculated as [28],…”

Section: The Impact Of Rényi Entropy On the Thermodynamics Of The Bhmentioning

confidence: 99%

Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

Yasir,

Tiecheng,

Usman

et al. 2024

Commun. Theor. Phys.

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The thermodynamics of black holes has had a profound impact on theoreticalphysics, providing insights into the nature of gravity, the quantum structure ofspacetime, and the fundamental laws governing the universe. In this work, westudy thermal geometries and Hawking evaporation of recently proposed topologicaldyonic dilaton black hole in AdS space. We consider Renyi entropy and obtainthe relations for pressure, heat capacity and Gibbs free energy and observe thatthe Renyi parameter and dilaton ¯eld has vital role on the phase transition andstability of the BH. Moreover, we use Weinhold, Ruppeiner and Hendi PanahiyahEslam Momennia models to evaluate scalar curvature of the BH and ¯nd out thatthe divergence points of the scalar curvature coincides with the zero of speci¯c heat.Finally using Stefan-Boltzmann law, we analyze that black hole without dilaton¯eld evaporate far more quickly as compare to dilaton black hole in AdS space.

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Section: The Impact Of Rényi Entropy On the Thermodynamics Of The Bhmentioning

confidence: 99%

Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

Yasir,

Tiecheng,

Usman

et al. 2024

Commun. Theor. Phys.

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“…The stability of this massive theory was studied and it was shown that this theory enjoys the absence of the Boulware-Deser ghost [39]. BH solutions in the context of massive gravity and their thermodynamical properties have been studied [40][41][42][43][44][45][46][47][48]. Vegh introduced the dRGT-like massive theories of the different classes by modification in the reference metric.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics, phase structure and quasinormal modes for AdS Heyward massive black hole

Singh,

Veer Singh,

Kumar Singh

2024

Phys. Scr.

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In this paper, we find the new exact $AdS$ black hole (BH) solution in the presence of massive gravity and nonlinear electrodynamics (NED). The obtained black hole solution (known as $AdS$ Heyward massive BH ) interpolates with the $AdS$ Heyward BH in the absence of graviton mass ($m$) and massive BH when the magnetic charge is switched off. We calculate the exact expression of thermodynamics quantities including local (heat capacity), global (free energy), and dynamical stability (quasinormal modes) of the obtained BH solution. The heat capacity of the BH diverges where the temperature is maximum and free energy is minimum. We also study the extended thermodynamics of the BH when the cosmological constant ($\Lambda$) is treated as the thermodynamics pressure ($P=-\Lambda/8\pi$). We analyze the first and second-order phase transition by studying the behavior of Gibbs free energy and these phase transitions are similar to the van der Walls phase transition. The effect of magnetic charge and graviton mass are opposite to each other on critical values.

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

Cited by 9 publications

References 69 publications

Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

Thermodynamics, phase structure and quasinormal modes for AdS Heyward massive black hole

Rényi Holographic Dark Energy

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