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Essay selected for Honorable mention 2014 by the Gravity Research Foundation. We study an isothermal system of semi-degenerate self-gravitating fermions in General Relativity (GR). The most general solutions present mass density profiles…

Astrophysics of Galaxies · Physics 2014-11-12 Carlos R. Argüelles , Remo Ruffini

The problem of modeling the distribution of dark matter in galaxies in terms of equilibrium configurations of collisionless self-gravitating quantum particles is considered. We first summarize the pioneering model of a Newtonian…

Astrophysics of Galaxies · Physics 2014-11-12 Carlos R. Argüelles , Remo Ruffini , Ivan Siutsou , Bernardo Fraga

We study an isothermal system of semi-degenerate self-gravitating fermions in general relativity. Such systems present mass density solutions with a central degenerate core, a plateau and a tail which follows a power law behaviour $r^{-2}$.…

Astrophysics of Galaxies · Physics 2014-11-12 Carlos R. Argüelles , Remo Ruffini , Bernardo M. O. Fraga

In this work we study the possibility of modeling the dark matter content in galaxies as a core-halo model consisting of self-gravitating, self-interacting fermions. For the core of the halo, the dark matter fermions are degenerate, while…

High Energy Physics - Phenomenology · Physics 2025-12-03 Fabian Hernandez-Gutierrez , Juan Barranco

After a brief introduction to standard cosmology and the dark matter problem in the the Universe, we consider a self-gravitating noninteracting fermion gas at nonzero temperature as a model for the dark matter halo of the Galaxy. This…

High Energy Physics - Phenomenology · Physics 2014-11-17 Neven Bilic , Gary B. Tupper , Raoul D. Viollier

Equilibrium configurations of weakly interacting fully degenerate fermionic dark matter are considered at various scales in the Universe. We treat the general situations for the gravity from Newtonian to general relativity and the…

Astrophysics · Physics 2007-05-23 Tadashi Nakajima , Masahiro Morikawa

Systems of self-gravitating fermions constitute a topic of great interest in astrophysics, due to the wide field of applications. In this paper, we consider the gravitational equilibrium of spherically symmetric Newtonian models of…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-01 Marco Merafina , Giuseppe Alberti

We investigate the distribution of dark matter in galaxies by solving the equations of equilibrium of a self-gravitating system of massive fermions (`inos') at selected temperatures and degeneracy parameters within general relativity. Our…

Astrophysics of Galaxies · Physics 2015-08-06 R. Ruffini , C. R. Argüelles , J. A. Rueda

We analyze the intriguing possibility to explain both dark mass components in a galaxy: the dark matter (DM) halo and the supermassive dark compact object lying at the center, by a unified approach in terms of a quasi-relaxed system of…

Astrophysics of Galaxies · Physics 2020-01-08 C. R. Argüelles , A. Krut , J. A. Rueda , R. Ruffini

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

We present an efficient numerical algorithm for evolving self-gravitating systems of dark-matter particles that leverages the assumption of spherical symmetry to reduce the nominally six-dimensional phase space to three dimensions. It can…

Astrophysics of Galaxies · Physics 2025-04-22 Marc Kamionkowski , Kris R. Sigurdson

We investigate the viability of a simple dark matter (DM) model consisting of a single fermion in the context of galactic dynamics. We use a consistent approach that does not presume a particular DM density profile but instead requires that…

Astrophysics of Galaxies · Physics 2019-10-16 K. Pal , L. V. Sales , J. Wudka

We present a framework for dark matter (DM) halo formation based on a kinetic theory of self-gravitating fermions together with a solid connection to thermodynamics. Based on maximum entropy arguments, this approach predicts a most likely…

Astrophysics of Galaxies · Physics 2026-01-09 A. Krut , C. R. Argüelles , P. -H. Chavanis

The formation and stability of collisionless self-gravitating systems are long standing problems, which date back to the work of D. Lynden-Bell on violent relaxation and extends to the issue of virialization of dark matter (DM) halos. An…

Astrophysics of Galaxies · Physics 2021-06-07 Carlos R. Argüelles , Manuel I. Díaz , Andreas Krut , Rafael Yunis

The field which binds a thermal fermionic cloud is defined as a Hartree integral upon its density. In turn, the density results from the field via a Thomas-Fermi occupation of the local phase space. This defines a complete theory of all…

High Energy Physics - Theory · Physics 2019-09-04 B. G. Giraud , R. Peschanski

We explore the possibility that fermionic dark matter undergoes a BCS transition to form a superfluid. This requires an attractive interaction between fermions and we describe a possible source of this interaction induced by torsion. We…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-13 Stephon Alexander , Sam Cormack

We discuss a modification of a recently developed numerical scheme for evolving spherically symmetric self-gravitating systems to include the effects of self-interacting dark matter. The approach is far more efficient than traditional…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-06 Marc Kamionkowski , Kris Sigurdson , Oren Slone

The equation of state for a degenerate gas of fermions at zero temperature in the non-relativistic case is a polytrope, i.e. $p \sim\rho^{5/3}/m_F^{8/3}$. If dark matter is modeled by such a non-interacting fermion, this dependence in the…

High Energy Physics - Phenomenology · Physics 2025-12-04 J. Barranco , A. Bernal , D. Delepine

In our current best cosmological model, the vast majority of matter in the Universe is dark, consisting of yet undetected, non-baryonic particles that do not interact electro-magnetically. So far, the only significant evidence for dark…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-09 Jenny Wagner

We consider a self-gravitating ideal fermion gas at nonzero temperature as a model for the Galactic halo. The Galactic halo of mass ~ 2 x 10^12 Msol enclosed within a radius of ~ 200 kpc implies the existence of a supermassive compact dark…

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