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We determine the caloric curves of classical self-gravitating systems at statistical equilibrium in general relativity. In the classical limit, the caloric curves of a self-gravitating gas depend on a unique parameter $\nu=GNm/Rc^2$, called…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Giuseppe Alberti , Pierre-Henri Chavanis

The Seidov limit is a bound on the maximum latent heat that a presumed first-order phase transition of neutron-star matter can have before its excess energy density, not compensated by additional pressure, results in gravitational collapse.…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Navarro Moreno , Aneta Wojnar , Felipe J. Llanes-Estrada

This work is devoted to the thermodynamics of gravitational clustering, a collective phenomenon with a great relevance in the $N$-body cosmological problem. We study a classical self-gravitating gas of identical non-relativistic particles…

Statistical Mechanics · Physics 2016-11-03 F. Tello-Ortiz , L. Velazquez

Collapse and reverse to collapse explosion transition in self-gravitating systems are studied by molecular dynamics simulations. A microcanonical ensemble of point particles confined to a spherical box is considered; the particles interact…

Statistical Mechanics · Physics 2009-11-10 I. Ispolatov , M. Karttunen

We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has surprisingly rich dynamics, which includes prompt…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Vitor Cardoso , Jorge V. Rocha

I discuss the statistical mechanics of gravitating systems and in particular its cosmological implications, and argue that many conventional views on this subject in the foundations of statistical mechanics embody significant confusion; I…

Statistical Mechanics · Physics 2011-11-10 David Wallace

The process of gravitational collapse excites the fields propagating in the background geometry and gives rise to thermal radiation. We demonstrate by explicit calculations that the density matrix corresponding to such radiation actually…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Anshul Saini , Dejan Stojkovic

The stability conditions of a relativistic hydrodynamic theory can be derived directly from the requirement that the entropy should be maximised in equilibrium. Here we use a simple geometrical argument to prove that, if the hydrodynamic…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We study the collapse of a self-gravitating thick shell of bosons coupled to a scalar radiation field. Due to the non-adiabaticity of the collapse, the shell (quantum) internal degrees of freedom absorb energy from the (classical)…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roberto Casadio

Critical gravitational collapse and self similarity are used to probe the mass distribution of subsolar objects. We demonstrate that at very low mass the distribution is given by a power law, with an exponent opposite in sign to that…

Astrophysics · Physics 2007-05-23 Matt Visser , Nicolas Yunes

In the framework of the Theory of General Relativity, models of stars with an unusual equation of state $\rho c^2<0$, $P>0$ where $\rho$ is the mass density and $P$ is the pressure, are constructed. These objects create outside themselves…

General Relativity and Quantum Cosmology · Physics 2018-10-03 I. D. Novikov , G. S. Bisnovatyi-Kogan , D. I. Novikov

Observational evidence in space and astrophysical plasmas with long collisional mean free path suggests that more massive charged particles may be preferentially heated. One possible mechanism for this is the turbulent cascade of energy…

Plasma Physics · Physics 2018-01-15 M. Barnes , P. Abiuso , W. Dorland

The gas clouds of the interstellar medium have a fractal structure, the origin of which has generally been thought to lie in turbulence. The energy of turbulence could come from galactic rotation at large-scale, then cascade down to be…

Astrophysics · Physics 2016-08-30 H. J. de Vega , N. Sánchez , F. Combes

The infinite gravitational collapse of any supermassive stars should pass through an energy scale of the grand unified theory (GUT). After nucleon-decays, the supermassive star will convert nearly all its mass into energy, and produce the…

General Physics · Physics 2007-10-03 Yi-Fang Chang

A system of charged bosons at finite temperature and chemical potential is studied in a general-relativistic framework. We assume that the boson fields interact only gravitationally. At sufficiently low temperature the system exists in two…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neven Bilic , Hrvoje Nikolic

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

Statistical Mechanics · Physics 2025-08-06 David Wallace

By using virial theorem, Helmholtz and Kelvin showed that the contraction of a bound self-gravitating system must be accompanied by release of radiation energy irrespective of the details of the contraction process. This happens because the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Abhas Mitra

The mysterious `dark energy' needed to explain the current observations, poses a serious confrontation between fundamental physics and cosmology. The present crisis may be an outcome of the (so far untested) prediction of the general theory…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Ram Gopal Vishwakarma

During the past 30 years, research in general relativity has brought to light strong hints of a very deep and fundamental relationship between gravitation, thermodynamics, and quantum theory. The most striking indication of such a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Robert M. Wald

The thermodynamic equilibrium conditions for compact structures composed by mass varying particles are discussed assuming that the so-called dynamical mass behaves like an additional extensive thermodynamic degree of freedom. It then…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Alex E. Bernardini , O. Bertolami
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