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We discuss the statistical mechanics of a system of self-gravitating fermions in a space of dimension $D$. We plot the caloric curves of the self-gravitating Fermi gas giving the temperature as a function of energy and investigate the…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

We have already derived the Criteria for thermal stability of charged rotating black holes in any dimension , for horizon areas that are large relative to the Planck area (in these dimensions). The derivation is done by using results of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Aloke Kumar Sinha

Taking seriously the interpretation of black hole entropy as the logarithm of the number of microstates, we argue that thermal gravitons may undergo a phase transition to a kind of black hole condensate. The phase transition proceeds via…

High Energy Physics - Theory · Physics 2009-11-11 Stephen D. H. Hsu , Brian M. Murray

Fermi balls are non-topological solitons that can naturally form in an early universe containing a dark sector with heavy fermions and an attractive interaction mediated by a light scalar field. We compute the Fermi ball mass and radius…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-07 Yifan Lu , Zachary S. C. Picker , Stefano Profumo , Alexander Kusenko

Even though, classically, a black holes is gravitational object, it can be treated as a thermodynamic object when quantum effect is taken into account. It is found that by using Gibbs-Boltzmann entropy, thermodynamic system associated…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Thanawat Anusonthi , Pitayuth Wongjun , Ratchaphat Nakarachinda

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an $f(R)$-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such…

We consider a uniform dipolar Fermi gas in two-dimensions (2D) where the dipole moments of fermions are aligned by an orientable external field. We obtain the ground state of the gas in Hartree-Fock approximation and investigate RPA…

Quantum Gases · Physics 2015-05-18 Yasuhiro Yamaguchi , Takaaki Sogo , Toru Ito , Takahiko Miyakawa

We derive a singular solution for the rotating counterpart of Lee-Wick gravity having a point source in a higher-derivative theory. We critically analyze the thermodynamics of such a thermal system by evaluating mass parameters, angular…

General Relativity and Quantum Cosmology · Physics 2022-06-13 Dharm Veer Singh , Sudhaker Upadhyay , Md Sabir Ali

Using the braid group topological approach to quantum statistics we demonstrate that for strong gravitational field occurring in neutron star merger with mass exceeding the Tolman, Oppenheimer and Volkoff limit the quantum statistics of…

General Physics · Physics 2022-03-03 Janusz Edward Jacak

The thermodynamic quantities such as the local temperature, heat capacity, off-shell free energy and the stability of a black hole involving a global monopole within or outside the $f(R)$ gravity are examined. We compare the two classes of…

High Energy Physics - Theory · Physics 2015-06-12 Jingyun Man , Hongbo Cheng

The quantum Schrodinger-Newton equation is solved for a self-gravitating Bose gas at zero temperature. It is derived that the density is non-uniform and a central hollow cavity exists. The radial distribution of the particle momentum is…

General Physics · Physics 2019-09-10 Roumen Tsekov

In this work, we approach certain black hole issues, including remnants, by providing a statistical description based on the weak gravity conjecture in the swampland program. Inspired by the Pauli exclusion principle in the context of the…

High Energy Physics - Theory · Physics 2026-02-26 Saad Eddine Baddis , Adil Belhaj , Hajar Belmahi

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a…

High Energy Physics - Theory · Physics 2019-05-01 M. Chabab , H. El Moumni , S. Iraoui , K. Masmar

The initial idea underlying the Weak Gravity Conjecture is that extremal black holes must always be "unstable", in the sense that they should slowly decay by emitting either particles or smaller black holes. Here we show that, when this…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Brett McInnes

Based on the formulated and proven similarity properties of cosmological models based on a statistical system of degenerate scalarly charged fermions, as well as the previously identified mechanism of scalar-gravitational instability of…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Yu. G. Ignat'ev

In contrast to Hawking radiation of black hole with a given spacetime structure, we consider a competitive transition due to a heat transfer from a hotter inner horizon to a colder outer horizon of Kerr black hole, that results in a stable…

General Relativity and Quantum Cosmology · Physics 2012-08-08 V. V. Kiselev

On the basis of the previously formulated mathematical model of a statistical system with scalar interaction of fermions and the theory of gravitational-scalar instability of a cosmological model based on a one-component statistical system…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Yu. G. Ignat'ev

Hawking's calculation is unable to predict the final stage of the black hole evaporation. When effects of quantum gravity are taken into account, there is a minimal observable length. In this paper, we investigate fermions' tunnelling from…

High Energy Physics - Theory · Physics 2014-04-28 Deyou Chen , Zhonghua Li

Heavy fermion alloys at critical doping typically exhibit non-Fermi-liquid behavior at low temperatures, including a logarithmic or power law rise in the ratio of specific heat to temperature as the temperature is lowered. Anomalous…

High Energy Physics - Theory · Physics 2015-03-13 E. J. Brynjolfsson , U. H. Danielsson , L. Thorlacius , T. Zingg

A criterion of thermal stability is derived for electrically charged quantum} black holes having large horizon area (compared to Planck area), as an inequality between the mass of the black hole and its microcanonical entropy. The…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Abhishek Majhi , Parthasarathi Majumdar