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In the framework of the Thomas-Fermi model at finite temperature, we show that a cooling nondegenerate gas of massive neutrinos will undergo a phase transition in which quasi-degenerate supermassive neutrino stars are formed through…

High Energy Physics - Phenomenology · Physics 2009-10-31 Neven Bilic , David Tsiklauri , Raoul Viollier

We study the phase transition of a system of self-gravitating neutrinos in the presence of a large radiation density background in the framework of the Thomas-Fermi model. We show that, by cooling a non-degenerate gas of massive neutrinos…

Astrophysics · Physics 2010-11-30 Neven Bilic , Raoul D. Viollier

The dynamics of a self-gravitating cold Fermi gas is described using the analogy with an interacting self-gravitating Bose condensate having the same Thomas-Fermi limit. The dissipationless formation of a heavy neutrino star through…

Astrophysics · Physics 2009-11-06 Neven Bilic , Robert J. Lindebaum , Gary B. Tupper , Raoul D. Viollier

The Thomas-Fermi model at finite temperature is extended to describe a system of self-gravitating weakly interacting massive fermions in a general-relativistic framework. By cooling a nondegenerate gas of weakly interacting massive fermions…

High Energy Physics - Phenomenology · Physics 2011-09-13 Neven Bilic , Raoul D. Viollier

Through reformulating the cold, self-gravitating fermion gas as a Bose condensate by identifying their mutual Thomas-Fermi limits, the dissipationless formation of a heavy neutrino star in gravitational collapse is numerically demonstrated.…

Astrophysics · Physics 2007-05-23 Neven Bilic , Robert J. Lindebaum , Gary B. Tupper , Raoul D. Viollier

The Thomas-Fermi model is extended at finite temperature, to describe the gravitational phase transition occurring in massive fermionic systems in a general-relativistic framework. It is shown that, when a nondegenerate fermionic gas (for…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Giuseppe Alberti , Pierre-Henri Chavanis

We discuss the nature of phase transitions in the self-gravitating Fermi gas at non-zero temperature. This study can be relevant for massive neutrinos in Dark Matter models and for collisionless self-gravitating systems experiencing a…

Astrophysics · Physics 2007-05-23 P. H. Chavanis

We investigate the dynamical instability of a self-gravitating thermal system in the quantum regime, where Fermi degeneracy pressure becomes significant. Using a truncated Fermi-Dirac distribution and solving the Tolman-Oppenheimer-Volkoff…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Wei-Xiang Feng , Hai-Bo Yu , Yi-Ming Zhong

Solar, atmospheric and reactor neutrino experiments established that neutrinos are massive. It is quite natural then to consider neutrinos as candidate particles for explaining the dark matter in halos around galaxies. We study the…

High Energy Physics - Phenomenology · Physics 2015-06-04 A. Nicolaidis

We exhibit a new instability that leads to "fast" coherent neutrino-antineutrino mixing in a dense neutrino cloud, arising from the standard four-Fermi interaction induced by Z exchange, and overlooked in the big existing literature on fast…

High Energy Physics - Phenomenology · Physics 2022-10-26 R. F. Sawyer

We show that if dark matter in a typical galaxy is a degenerate Fermi gas, particles should have a mass of $\sim$ 1eV for the galaxy to be stable. While this is the mass range of the active neutrinos, they are not a dark matter candidate in…

Astrophysics of Galaxies · Physics 2018-11-05 Ahmad Borzou

We discuss the occurrence of gravitational phase transitions and instabilities in a gas of self-gravitating fermions within the framework of general relativity. In the classical (nondegenerate) limit, the system undergoes a gravitational…

General Relativity and Quantum Cosmology · Physics 2020-02-11 Pierre-Henri Chavanis , Giuseppe Alberti

Stability of nuclei beyond the drip lines in the presence of an enveloping gas of nucleons and electrons, as prevailing in the inner crust of a neutron star, is studied in the temperature-dependent Thomas-Fermi framework. A limiting…

Nuclear Theory · Physics 2009-11-07 Tapas Sil , J. N. De , S. K. Samaddar , X. Vinas , M. Centelles , B. K. Agrawal , S. K. Patra

The properties of warm symmetric and asymmetric nuclear matter are investigated in the frame of the Thomas-Fermi approximation using a recent modern parametrization of the effective nucleon-nucleon interaction of Myers and Swiatecki.…

Nuclear Theory · Physics 2015-06-26 Klaus Strobel , Fridolin Weber , Manfred K. Weigel

All presently known stellar-dynamical constraints on the size and mass of the supermassive compact dark object at the Galactic center are consistent with a ball of self-gravitating, nearly non-interacting, degenerate fermions with mass…

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

The gravitational collapse of a non-rotating, black-hole-forming massive star is studied by neutrino-radiation-hydrodynamical simulations for two different sets of realistic equation of state of dense matter. We show that the event will…

Astrophysics · Physics 2008-11-26 K. Sumiyoshi , S. Yamada , H. Suzuki , S. Chiba

Long-lived sterile neutrinos can play the role of dark matter. We consider the possibility that such neutrinos form a thermal bath with a singlet scalar, while not being in thermal equilibrium with the Standard Model fields. Eventually, the…

High Energy Physics - Phenomenology · Physics 2023-05-31 Oleg Lebedev , Takashi Toma

We study the thermal effects on the nuclear matter (NM) properties such as binding energy, incompressibility, free symmetry energy and its coefficients using NL3, G3 and IU-FSU parameter sets of relativistic mean-field models. These models…

Nuclear Theory · Physics 2020-08-28 Ankit Kumar , H. C. Das , S. K. Biswal , Bharat Kumar , S. K. Patra

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

We describe microcanonical phase transitions and instabilities of the ideal Fermi gas in general relativity at nonzero temperature confined in the interior of a spherical shell. The thermodynamic behaviour is governed by the compactness of…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Zacharias Roupas , Pierre-Henri Chavanis
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