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The thermodynamic instabilities of the self-gravitating, classical ideal gas are studied in the case of static, spherically symmetric configurations in General Relativity taking into account the Tolman-Ehrenfest effect. One type of…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Zacharias Roupas

In order to solve the Tolman-Oppenheimer-Volkoff equations for neutron stars, one routinely uses the equation of states which are computed in the Minkowski spacetime. Using a first-principle approach, it is shown that the equation of states…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Golam Mortuza Hossain , Susobhan Mandal

The equation of state for neutron stars in a wide-density range at zero temperature is constructed. The chiral quark-meson coupling model within relativistic Hartree-Fock approximation is adopted for uniform nuclear matter. The coupling…

High Energy Astrophysical Phenomena · Physics 2013-10-15 Tsuyoshi Miyatsu , Sachiko Yamamuro , Ken'ichiro Nakazato

The thermodynamic equilibrium condition for a static self-gravitating fluid in the Einstein theory is defined by the Tolman-Ehrenfest temperature law, $T{\sqrt {g_{00}(x^{i})}} = constant$, according to which the proper temperature depends…

General Relativity and Quantum Cosmology · Physics 2020-09-02 J. A. S. Lima , A. Del Popolo , A. R. Plastino

The gravitational instability, responsible for the formation of the structure of the Universe, occurs below energy thresholds and above spatial scales of a self-gravitating expanding region, when thermal energy can no longer counterbalance…

General Relativity and Quantum Cosmology · Physics 2019-01-04 Zacharias Roupas

We reconsider the problem of modelling static spherically symmetric perfect fluid configurations with an equation of state from a point of view of that requires the use of the concept of principal transform of a 3-dimensional Riemannian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ll. Bel

We establish bounds on the maximum possible specific latent heat of cold neutron-star matter derived from hadron physics alone. Existing chiral perturbation theory computations for the equation of state, together with perturbative Quantum…

Nuclear Theory · Physics 2023-09-13 Eva Lope-Oter , Felipe J. Llanes-Estrada

Motivated by the entropy-functional formulation of emergent gravity, in which spacetime is endowed with a thermodynamic entropy that, upon extremization, yields the Einstein field equations, we reformulate the onset of a neutron star as a…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Wen-Xiang Chen

From experimental observations of limiting temperatures in heavy ion collisions we derive Tc, the critical temperature of infinite nuclear matter. The critical temperature is 16.6 +- 0.86 MeV. Theoretical model correlations between Tc, the…

Nuclear Experiment · Physics 2009-11-07 J. B. Natowitz , K. Hagel , Y. Ma , M. Murray , L. Qin , R. Wada , J. Wang

We conjecture and verify a set of universal relations between global parameters of hot and fast-rotating compact stars, including a relation connecting the masses of the mass-shedding (Kepler) and static configurations. We apply these…

High Energy Astrophysical Phenomena · Physics 2021-05-19 Sanika Khadkikar , Adriana R. Raduta , Micaela Oertel , Armen Sedrakian

Recent numerical simulations in general relativistic magnetohydrodynamics (GRMHD) provide useful constraints for the interpretation of the GW170817 discovery. Combining the observed data with these simulations leads to a bound on the…

High Energy Astrophysical Phenomena · Physics 2018-05-08 Milton Ruiz , Stuart L. Shapiro , Antonios Tsokaros

Numerous estimates of upper bounds on the (anti)neutrino rest mass have been published based on the SN1987A observations. Here, we use a nonkinematic (thermal) time extent to provide a rest mass estimate of a few eV (as mc^2 mass), if not…

General Physics · Physics 2009-10-05 John Michael Williams

The Tolman-Ehrenfest criterion for the thermal equilibrium of a fluid at rest in a static general-relativistic geometry is generalized to scalar-tensor gravity. Surprisingly, the gravitational scalar field, which fixes the strength of the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Numa Karolinski , Valerio Faraoni

The pure self-gravitating system in this paper refers to a multi-body gaseous system where the self-gravity plays a dominant role and the intermolecular interactions can be neglected. Therefore its total mass must be much more than a limit…

Astrophysics of Galaxies · Physics 2015-08-10 Yahui Zheng , Jiulin Du

We demonstrate that the largest measured mass of a neutron star establishes an upper bound to the energy density of observable cold matter. An equation of state-independent expression satisfied by both normal neutron stars and self-bound…

Astrophysics · Physics 2009-11-10 James M. Lattimer Madappa Prakash

A hypothetical time-variation of the gravitational constant $G$ would make neutron stars expand or contract, so the matter in their interiors would depart from beta equilibrium. This induces non-equilibrium weak reactions, which release…

High Energy Astrophysical Phenomena · Physics 2009-11-03 Andreas Reisenegger , Paula Jofré , Rodrigo Fernández

We calculate in a general background gauge, to one-loop order, the leading logarithmic contribution from the graviton self-energy at finite temperature $T$, extending a previous analysis done at $T=0$. The result, which has a transverse…

High Energy Physics - Theory · Physics 2023-05-02 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

It is shown, in the framework of the Thomas-Fermi model at finite temperature, that a cooling non-degenerate gas of massive neutrinos will, at a certain temperature, become unstable and undergo a first-order phase transition in which…

Astrophysics · Physics 2007-05-23 Neven Bilic , Raoul D. Viollier

With insight from examples and physical arguments, the Tolman-Ehrenfest criterion of thermal equilibrium for test fluids in static spacetimes is extended to local thermal equilibrium in conformally static geometries. The temperature of the…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Valerio Faraoni , Robert Vanderwee

Globally neutral neutron stars, obtained from the solution of the called Einstein-Maxwell-Thomas-Fermi equations that account for all the fundamental interactions, have been recently introduced. These configurations have a more general…

High Energy Astrophysical Phenomena · Physics 2015-06-23 S. M. de Carvalho , R. Negreiros , Jorge A. Rueda , Remo Ruffini
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