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We consider a special case of the three dimensional Vlasov-Poisson system where the particles are restricted to a plane, a situation that is used in astrophysics to model extremely flattened galaxies. We prove the existence of steady states…

Mathematical Physics · Physics 2009-10-31 Gerhard Rein

This paper investigates spheroidal galaxies comprising a self-interacting dark matter halo (SIDM) plus de Vaucouleurs stellar distribution. These are coupled only via their shared gravitational field, which is computed consistently from the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Curtis J. Saxton

We prove the existence and stability of flat steady states of the Vlasov-Poisson system, which in astrophysics are used as models of disk-like galaxies. We follow the variational approach developed by Guo and Rein for this type of problems…

Mathematical Physics · Physics 2007-05-23 Roman Firt , Gerhard Rein

We consider the Vlasov-Poisson system with spherical symmetry and an exterior potential which is induced by a point mass in the center. This system can be used as a simple model for a newtonian galaxy surrounding a black hole. For this…

Mathematical Physics · Physics 2009-11-13 Achim Schulze

Dissipative dark matter, where dark matter particle properties closely resemble familiar baryonic matter, is considered. Mirror dark matter, which arises from an isomorphic hidden sector, is a specific and theoretically constrained…

Astrophysics of Galaxies · Physics 2018-02-21 R. Foot

The cosmic large-scale structures of the Universe are mainly the result of the gravitational instability of initially small density fluctuations in the dark-matter distribution. Dark matter appears to be initially cold and behaves as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-09 Cornelius Rampf

We considered a vacuum polarization inside a galaxy in the eikonal approximation and found that two possible types of polarization exist. The first type is described by the equation of state $p=\rho/3$, similar to radiation. Using the…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Sergey L. Cherkas , Vladimir L. Kalashnikov

Matter and dark matter in galaxies represent two main components linked by the gravitational interaction. Collisions of galaxies may create an offset between the centers of mass of these components. Ignoring internal dynamics of particles…

Astrophysics of Galaxies · Physics 2026-05-27 V. V. Flambaum , I. B. Samsonov

The distribution of the non-luminous matter in galaxies of different luminosity and Hubble type is much more than a proof of the existence of dark particles governing the structures of the Universe. Here, we will review the complex but…

Astrophysics of Galaxies · Physics 2019-02-25 Paolo Salucci

A large class of flat axially symmetric solutions to the Vlasov-Poisson system is constructed with the property that the corresponding rotation curves are approximately flat, slightly decreasing or slightly increasing. The rotation curves…

Astrophysics of Galaxies · Physics 2015-06-22 Håkan Andréasson , Gerhard Rein

Observations of density profiles of galaxies and clusters constrain the properties of dark matter. Formation of stable halos by collisional fluids with very low mass particles appears as the most probable interpretation, while halos formed…

General Physics · Physics 2011-04-14 Ernst Fischer

We consider the singular configurations of gravitating gas [1] which could be used as a model for disk galaxies. The simplest steady configuration, which corresponds to rotation of stars around center gives flat rotational curve, provided…

Astrophysics · Physics 2007-05-23 G. Pronko

A typical galaxy consists of a huge number of stars attracted to each other by gravity. For instance, the Milky Way has about $10^{11}$ stars. Thus it is typically modeled by the Vlasov-Poisson system. We prove an existence theorem for…

Analysis of PDEs · Mathematics 2022-03-04 Walter A. Strauss , Yilun Wu

We study a Newtonian model which allows us to describe some extremely flat objects in galactic dynamics. This model is described by a partial differential equation system called Vlasov-Poisson, whose solutions describe the temporal…

Analysis of PDEs · Mathematics 2023-10-17 Matias Moreno

We construct exact black hole solutions free of curvature singularities, sourced by dark matter halos described by galactic density profiles. Regularity of the geometry is ensured by adopting the relation $P_{r}=-\rho$ between radial…

General Relativity and Quantum Cosmology · Physics 2026-02-09 R. A. Konoplya , A. Zhidenko

Dark stars are compact massive objects, described by Einstein gravitational field equations with matter. The type we consider possesses no event horizon, instead, there is a deep gravitational well with a very strong redshift factor.…

Astrophysics of Galaxies · Physics 2021-02-17 Igor Nikitin

A dark matter halo model is developed postulating a new state of matter, entities which have internal spin-like terms. Their motion in an external Schwarzschild metric is discussed. The internal spin motion contributes to the centrifugal…

General Physics · Physics 2017-05-25 H. L. Helfer

Low surface brightness galaxies are an excellent laboratory where stars and baryonic matter act as tracers of the gravitational potential of the dark matter halo. If dark matter is modeled as a perfect fluid, then spherically symmetric and…

Astrophysics of Galaxies · Physics 2024-08-29 Andrés Aceña , Juan Barranco , Argelia Bernal , Ericson López , Mario Llerena

We use a direct numerical integration of the Vlasov equation in spherical symmetry with a background gravitational potential to determine the evolution of a collection of particles in different models of a galactic halo. Such a collection…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Paola Domínguez-Fernández , Erik Jiménez-Vázquez , Miguel Alcubierre , Edison Montoya , Darío Núñez

Rotating bosonic dark matter halos are considered as potential candidates for modeling dark matter in galactic halos. These bosonic dark matter halos can be viewed as a dilute and very extended version of bosonic stars, and the methods used…

Astrophysics of Galaxies · Physics 2025-03-13 Jorge Castelo Mourelle , Christoph Adam
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