Jeans analysis in modified gravity

Abstract

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. By studying the weak field approximation of this theory, we derive the equations governing the dynamics of the self-gravitating systems. More specifically, we consider the Jeans instability for self-gravitating fluid and stellar systems, and derive new Jeans mass limit ${\tilde{M}}_J$ and wave-number ${\tilde{k}}_J$. Furthermore, considering the gravitational instability in star forming regions, we show that MOG has not a significant difference with general relativity on this astrophysical scale. However, at larger scales such as intergalactic space MOG may lead to different galaxy and structure formation processes.

References in corpus (19)

• Modified Gravity and Cosmology
• First results from the LUX dark matter experiment at the Sanford Underground Research Facility
• Dark Matter Results from 225 Live Days of XENON100 Data
• Scalar-Tensor-Vector Gravity Theory
• The Physics of the Intergalactic Medium
• Galaxy Rotation Curves Without Non-Baryonic Dark Matter
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Limit to General Relativity in f(R) theories of gravity
• Black Holes in f(R) theories
• The MOG weak field approximation and observational test of galaxy rotation curves
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Gravitational collapse in f(R) theories
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• Galaxy Cluster Masses Without Non-Baryonic Dark Matter
• Cosmology with Modified Newtonian Dynamics (MOND)
• Fundamental parameter-free solutions in Modified Gravity
• Black hole entropy in modified gravity models
• Test particle motion in modified gravity theories
• Spherical Collapse in Modified Newtonian Dynamics (MOND)

Cited by in corpus (30)

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• Jeans Analysis of Bok globules in $f(R)$ gravity
• The Star Formation History and Dynamics of the Ultra-diffuse Galaxy Dragonfly 44 in MOND and MOG
• On the stability of a galactic disk in modified gravity
• Post-Newtonian Jeans analysis
• On the cosmology of scalar-tensor-vector gravity theory
• On the gravitational instability in the Newtonian limit of MOG
• Effects of Scalar-Tensor-Vector Gravity on relativistic jets
• Jupiter and jovian (exo)-planets in Palatini $f(\bar{R})$ gravity
• Exact cosmological solutions for MOG
• Testing modified gravity with dwarf spheroidal galaxies
• The phase space analysis of modified gravity (MOG)
• Gravitational instability with a dark matter background: Exploring the different scenarios
• Gravitational Theory of Cosmology, Galaxies and Galaxy Clusters
• Noether symmetry in the Nash theory of gravity
• Global stability of self-gravitating disks in modified gravity
• Local fragmentation of thin disks in Eddington-inspired gravity
• Does modified gravity predict fast stellar bars in spiral galaxies?
• Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity
• On the Scalar-Vector-Tensor Gravity: Black Hole, Thermodynamics and Geometrothermodynamics
• Stellar Bar evolution in the absence of dark matter halo
• On the gravitational stability of the Maclaurin disk
• Wave Propagation in Modified Gravity
• Global structure and dynamics of slowly rotating accretion flows
• Local Stability of Galactic Discs in Modified Dynamics
• The Jeans theorem and the "Tolman-Oppenheimer-Volkov equation" in an exact wave solution of R^2 gravity
• Stability of Differentially Rotating Disks in $f(T)$ Theory