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We investigate a generalized entropic cosmology obtained by applying the gravity-thermodynamics conjecture to the Universe horizon using Kaniadakis statistics, namely a relativistic extension of the standard Boltzmann--Gibbs formalism. The…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Abdelhakim Benkrane , Giuseppe Gaetano Luciano

This paper studies the thermodynamics and Ruppeiner geometry of D-dimensional RN black holes. We analyze the thermodynamic curvature scalar $R$ in various thermodynamic ensembles. It is found that in an ensemble of fixed charge (canonical…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Wen-Xiang Chen

Instead of scalar tensor gravity models which is applicable for description of cosmic inflation with unknown dark sector of matter/energy, at presentense there are presented different alternative scalar tensor vector gravities where…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Hossein Ghaffarnejad , Elham Ghasemi Kordkheilee

We investigate the critical phenomena of Kerr-AdS black holes in the modified first law of thermodynamics. The modified black hole thermodynamics exhibits the van der Waals-like phase structure. All the critical exponents are calculated,…

General Relativity and Quantum Cosmology · Physics 2024-09-05 Qin Liu , Xiaoning Wu , Xiao Zhang

In the extended phase space approach, one can define thermodynamic pressure and volume that gives rise to the van der Waals type phase transition for black holes. For Einstein's GR, the expressions of these quantities are unanimously…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Krishnakanta Bhattacharya

In this paper, we examine the thermodynamic geometry of four-dimensional quasi-topological black holes by computing the Ruppeiner scalar curvature R which serves as an empirical tool to describe the nature of interactions among black hole…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Apurba Tiwari , Randeep Kaur , Aruri Devaraju , Jaya Prakash Kode , Apparao Damarasingu , Silamanthula Hari Krishna , Akshay Gharat

The Shapere-Wilczek model \cite{wil}, or so called $ fgh$ model, enjoys the remarkable features of a Time Crystal (TC) that has a non-trivial time dependence in its lowest energy state (or the classical ground state). We construct a…

High Energy Physics - Theory · Physics 2019-02-20 Praloy Das , Supriya Pan , Subir Ghosh

We investigate the thermodynamic geometry of the quark-meson model at finite temperature, $T$, and quark number chemical potential, $\mu$. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization…

High Energy Physics - Phenomenology · Physics 2023-12-04 Fabrizio Murgana , Vincenzo Greco , Marco Ruggieri , Dario Zappalà

Geometrical approach to the phenomenological theory of phase transitions of the second kind at constant pressure $P$ and variable temperature $T$ is proposed. Equilibrium states of a system at zero external field and fixed $P$ and $T$ are…

Condensed Matter · Physics 2019-08-17 A. K. Kanyuka , V. S. Glukhov

We study the thermodynamical properties of a one-dimensional gas with one-dimensional gravitational interactions, and placed in a uniform mass background. Periodic boundary conditions are implemented as a modification of the potential…

Statistical Mechanics · Physics 2017-02-22 Pankaj Kumar , Bruce N. Miller , Dan Pirjol

Heat can flow from cold to hot at any phase separation. Therefore Lynden-Bell's gravo-thermal catastrophe must be reconsidered. The original objects of Thermodynamics, the separation of phases at first order phase transitions, like boiling…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

It has been shown that Friedmann equation of FRW universe can be derived from the first law of thermodynamics in Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, scalar-tensor gravity and $f(R)$ gravity. Moreover, it was pointed…

High Energy Physics - Theory · Physics 2010-05-26 Qiao-Jun Cao , Yi-Xin Chen , Kai-Nan Shao

The time-evolution dynamics of two nonlinear cosmological real gas models has been reexamined in detail with methods from the theory of Hamiltonian dynamical systems. These examples are FRWL cosmologies, one based on a gas, satisfying the…

High Energy Physics - Theory · Physics 2018-11-09 Rossen I. Ivanov , Emil M. Prodanov

In this paper, we extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Yu-Meng Xu , Hui-Min Wang , Yu-Xiao Liu , Shao-Wen Wei

We study theoretically the quantum critical phenomenon of the phase transition between the trivial insulator and the topological insulator in (3+1) dimensions, which is described by a Dirac fermion coupled to the electromagnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 Hiroki Isobe , Naoto Nagaosa

Some cosmological models based on the gravitational theory $f(R) = R+\zeta R^2$, and on fluids obeying to the equations of state of Redlich-Kwong, Berthelot, and Dieterici are proposed for describing smooth transitions between different…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Saikat Chakraborty , Daniele Gregoris

The van der Waals (vdW) theory of fluids is the first and simplest theory that takes into account interactions between the particles of a system that result in a phase transition versus temperature. Combined with Maxwell's construction,…

Soft Condensed Matter · Physics 2018-02-12 David C. Johnston

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

We examine the consistency of the thermodynamics of the most general class of conformally flat solution with an irrotational perfect fluid source (the Stephani Universes). For the case when the isometry group has dimension $r\ge2$, the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hernando Quevedo , Roberto Sussman

It is well-known that the non-extremal anti-de-Sitter (AdS) black holes show various van der Waals type criticalities, such as the $P-V$, $T-S$, $Y-X$, $Q^2-\Psi$ etc. In these cases, the phase space diagram of the relevant quantities are…

General Relativity and Quantum Cosmology · Physics 2020-01-23 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi