AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Rényi statistics

Samart, Daris; Channuie, Phongpichit

doi:10.1016/j.nuclphysb.2023.116140

Cited by 4 publications

(2 citation statements)

References 59 publications

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“…According to the dS to AdS phase transition in five-dimensional spacetime with the Gauss-Bonnet gravity, however, there exists a negative value of 𝜆 that produces a positive Rényi temperature. [89] Note that the logarithmic function in Equation ( 7) is always well-behaved when 𝜆 is positive. As a result, it is prudent to stick with our consideration for the range of the non-extensive parameter of 0 ≤ 𝜆 < 1.…”

Section: Schwarzschild Black Hole With Rényi Entropymentioning

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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Section: Schwarzschild Black Hole With Rényi Entropymentioning

confidence: 99%

Rényi Holographic Dark Energy

Nakarachinda,

Pongkitivanichkul,

Samart

et al. 2024

Fortschritte der Physik

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“…Here we choose Λ = -8πP [50]. Here, pressure P is directly linked with the cosmological constant Λ, thus by taking the negative value of pressure we consider the anti-de Sitter spacetime (AdS-spacetime), and for positive values of P, we mean de Sitter spacetime (dS-spacetime) [51]. In this manuscript we analyze the black hole thermodynamics for both AdSspacetime and dS-spacetime.…”

Section: Introductory Review Of the Rindler-schwarzschild Black Holementioning

confidence: 99%

Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Ditta,

Tiecheng,

Ali

et al. 2024

Commun. Theor. Phys.

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In this study, we investigate the thermodynamic characteristics of the Rindler-Schwarzschild black hole solution. Our analysis encompasses the examination of energy emission, Gibbs free energy, and thermal fluctuations. We calculate various quantities such as the Hawking temperature, geometric mass, and heat capacity to assess the local and global thermodynamic stability. The temperature of the black hole is determined using the first law of thermodynamics, while the energy emission rate is evaluated as well. By computing the Gibbs free energy, we explore the phase transition behavior exhibited by Rindler-Schwarzschild black hole, specifically examining the swallowing tails. Moreover, we derive the corrected entropy to investigate the influence of thermal fluctuations on small and large black holes. Notably, we compare the impact of correction terms on the thermodynamic system by comparing the results obtained for large black holes and small black holes.

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Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime

Angsachon,

Ruenearom

2023

Theor Math Phys

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AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Rényi statistics

Cited by 4 publications

References 59 publications

Rényi Holographic Dark Energy

Rényi Holographic Dark Energy

Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime

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