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We study the fermionic King model which may provide a relevant model of dark matter halos. The exclusion constraint can be due to quantum mechanics (for fermions such as massive neutrinos) or to Lynden-Bell's statistics (for collisionless…

Astrophysics of Galaxies · Physics 2014-11-25 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats

We consider the possibility that dark matter halos are described by the Fermi-Dirac distribution at finite temperature. This is the case if dark matter is a self-gravitating quantum gas made of massive neutrinos at statistical equilibrium.…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats

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

We consider the possibility that dark matter halos are made of quantum particles such as fermions or bosons in the form of Bose-Einstein condensates. In that case, they generically have a "core-halo" structure with a quantum core that…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-11 Pierre-Henri Chavanis

We discuss the nature of phase transitions in the fermionic King model which describes tidally truncated quantum self-gravitating systems. This distribution function takes into account the escape of high energy particles and has a finite…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats

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

We derive the main physical galaxy properties: mass, halo radius, phase space density and velocity dispersion from a semiclassical gravitational approach in which fermionic WDM is treated quantum mechanically. They turn out to be compatible…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 C. Destri , H. J. de Vega , N. G. Sanchez

The Gross-Pitaevskii-Poisson equations that govern the evolution of self-gravitating Bose-Einstein condensates, possibly representing dark matter halos, experience a process of gravitational cooling and violent relaxation. We propose a…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Pierre-Henri Chavanis

We develop a model of Bose-Einstein condensate dark matter halos with a solitonic core and an isothermal atmosphere based on a generalized Gross-Pitaevskii-Poisson equation [P.H. Chavanis, Eur. Phys. J. Plus 132, 248 (2017)]. This equation…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Pierre-Henri Chavanis

The stability of isothermal dark matter halos has been widely studied before. In this paper, we investigate the stability of non-isothermal fermionic dark matter halos. We show that in the presence of temperature gradient, the force due to…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-24 Ahmad Borzou

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

In this paper, we formulate a new model of density distribution for halos made of warm dark matter (WDM) particles. The model is described by a single microphysics parameter - the mass (or, equivalently, the maximal value of the initial…

Astrophysics of Galaxies · Physics 2019-08-30 A. Rudakovskyi , D. Savchenko

We study the non-linear structure formation in cosmology accounting for the quantum nature of the dark matter (DM) particles in the initial conditions at decoupling, as well as in the relaxation and stability of the DM halos. Differently…

Astrophysics of Galaxies · Physics 2022-03-14 Carlos R. Argüelles , Eduar A. Becerra-Vergara , Andreas Krut , Rafael Yunis , Jorge A. Rueda , 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

A halo model is presented which possesses a constant phase space density (Q) core followed by a radial CDM-like power law decrease in Q. The motivation for the core is the allowance for a possible primordial phase space density limit such…

Astrophysics · Physics 2009-11-13 F. D. A. Hartwick

Collisionless self-gravitating systems such as cold dark matter halos are known to harbor universal density profiles despite the intricate non-linear physics of hierarchical structure formation in the $\Lambda$CDM paradigm. The origin of…

Astrophysics of Galaxies · Physics 2025-12-01 Uddipan Banik , Amitava Bhattacharjee

Galaxies show different halo scaling relations such as the Radial Acceleration Relation, the Mass Discrepancy Acceleration Relation (MDAR) or the dark matter Surface Density Relation (SDR). At difference with traditional studies using…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 A. Krut , C. R. Argüelles , P. -H. Chavanis , J. A. Rueda , R. Ruffini

This work study the finite temperature effects of a mass dimension one fermionic field, sometimes called Elko field. The equilibrium partition function was calculated by means of the imaginary time formalism and the result obtained was the…

General Physics · Physics 2019-05-08 S. H. Pereira , Richard S. Costa

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

We consider the steady-state regime describing the density profile of a dark matter halo, if dark matter is treated as a Bose-Einstein condensate. We first solve the fluid equation for "canonical" cold dark matter, obtaining a class of…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-10 Luca Visinelli
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