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It has recently been demonstrated [A. Giusti, Phys. Rev. D 101, 124029 (2020)] that characteristic traits of Milgrom's modified Newtonian dynamics (MOND) can be replicated from an entirely distinct framework: a fractional variant of…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Kamel Ourabah

The weak field limit of the nonminimally coupled Boltzmann equation is studied, and relations between the invariant Bardeen scalar potentials are derived. The Jean's criterion for instabilities is found through the modified dispersion…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Cláudio Gomes

We study the Jeans instability of a self-gravitating fluid in the context of alternative gravitational theories. Our formulation accommodates arbitrary corrections to the Newtonian potential, providing a versatile approach to analyzing a…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Ryan Khaled , Kamel Ourabah

The concept of Jeans gravitational instability is rediscussed in the framework of nonextensive statistics and its associated kinetic theory. A simple analytical formula generalizing the Jeans criterion is derived by assuming that the…

Astrophysics · Physics 2009-11-07 J. A. S. Lima , R. Silva , J. Santos

The Jeans stability criterium for gravitational collapse is examined for the case of an inert binary mixture in local equilibrium, neglectinq dissipative effects. The corresponding transport equations are established using kinetic theory…

Statistical Mechanics · Physics 2021-10-18 A. Sandoval-Villalbazo , A. R. Sagaceta-Mejia

Gravitational instability in classical Jeans theory, General Relativity, and modified gravity is considered. The background density increase leads to a faster growth of perturbations in comparison with the standard theory. The transition to…

General Relativity and Quantum Cosmology · Physics 2015-06-22 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

We study the gravitational instability of a general relativistic complex scalar field with a quartic self-interaction in an infinite homogeneous static background. This quantum relativistic Jeans problem provides a simplified framework to…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Abril Suárez , Pierre-Henri Chavanis

The effect of nonextensivity of self-gravitating systems on the Jeans criterion for gravitational instability is studied in the framework of Tsallis statistics. The nonextensivity is introduced in the Jeans problem by a generalized…

Astrophysics · Physics 2015-08-10 Jiulin Du

The self-consistent system of master equations describing the kinetics of a relativistic non-Abelian plasma, influenced by curvature interactions, is formulated. Non-minimal (curvature induced) coupling is shown to modify all the subsystems…

General Relativity and Quantum Cosmology · Physics 2007-10-04 A. B. Balakin

The Jeans gravitational instability in nonextensive statistical mechanics is studied and a general form of the generalized Jeans criterion is obtained that is related to the q-function . In this approach, the nonextensive model of classical…

Astrophysics · Physics 2015-08-10 Jiulin Du

The Jeans analysis is studied in the first post-Newtonian limit. In other words, the relativistic effects on the local gravitational instability are considered for systems where characteristic velocity of the system and corresponding…

High Energy Astrophysical Phenomena · Physics 2017-05-17 Elham Nazari , Ali Kazemi , Mahmood Roshan , Shahram Abbassi

Jeans instability is derived for the case of a low density self-gravitating gas beyond the Navier-Stokes equations. The Jeans instability criterium is shown to depend on a Burnett coefficient if the formalism is taken up to fourth order in…

Astrophysics · Physics 2009-11-10 L. S. Garcia-Colin , A. Sandoval-Villalbazo

The well known Jeans instability is studied for a viscoelastic, gravitational fluid using generalized hydrodynamic equations of motions. It is found that the threshold for the onset of instability appears at higher wavelengths in a…

Solar and Stellar Astrophysics · Physics 2015-06-17 M. S. Janaki , N. Chakrabarti , D. Banerjee

We study the Jeans gravitational instability for a mixture of baryonic and dark matter particles, in the post-Newtonian approximation. We adopt a kinetic model consisting of a coupled system of post-Newtonian collisionless Boltzmann…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Gilberto M. Kremer , Kamel Ourabah

A new non-perturbative approach to quantum theory in curved spacetime and to quantum gravity, based on a generalisation of the Wigner equation, is proposed. Our definition for a Wigner equation differs from what have otherwise been…

High Energy Physics - Theory · Physics 2009-10-30 Frank Antonsen

MOdified Gravity (MOG) is a covariant modification of Einstein's general relativity. This theory is one of the current alternatives to dark matter models. We describe dynamics of collisionless self-gravitating systems in the context of MOG.…

Astrophysics of Galaxies · Physics 2014-09-24 Mahmood Roshan , Shahram Abbassi

An analysis of the gravitational instability in presence of dissipative effects is addressed. In particular, the standard Jeans Mechanism and the generalization in treating the Universe expansion are both analyzed when bulk viscosity…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Nakia Carlevaro , Giovanni Montani

Jeans instability is analysed in an expanding universe within the framework of BGK model of the Boltzmann equation and Poisson equations. The background is characterized by a comoving Maxwellian distribution function and a space-time…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Gilberto M. Kremer

This paper focuses on the analysis of the gravitational instability in presence of bulk viscosity both in Newtonian regime and in the fully-relativistic approach. The standard Jeans Mechanism and the Quasi-Isotropic Solution are treated…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Nakia Carlevaro , Giovanni Montani

The standard wave function approach for the treatment of neutrino oscillations fails in situations where quantum ensembles at a finite temperature with or without an interacting background plasma are encountered. As a first step to treat…

High Energy Physics - Phenomenology · Physics 2015-05-27 Sebastian Hollenberg , Heinrich Päs
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