Local fragmentation of thin disks in Eddington-inspired gravity

Abstract

We find the generalized version of the Toomre's criterion for the stability of a rotating thin disk in the context of Eddington inspired Born-Infeld (EiBI) gravity which possesses one free parameter $\chi$. To do so we use the weak field limit of the theory and find the dispersion relation for the propagation of matter density waves on the surface of a self-gravitating and differentially rotating disk. Finally we find a new version of Toomre's stability criterion for thin disks. We show that EiBI gravity with negative $\chi$ destabilizes all the rotating thin disks. On the other hand EiBI with positive $\chi$ substantially can suppress the local fragmentation, and has stabilizing effects against axi-symmetric perturbations. More specifically, we show that only an annulus remains unstable on the surface of the disk. The width of the annulus directly depends on the magnitude of $\chi$.

arXiv commentAccepted for publication in MNRAS

References in corpus (49)

• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Particle Dark Matter: Evidence, Candidates and Constraints
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Eddington's theory of gravity and its progeny
• Born-Infeld-Einstein Actions?
• Born-Infeld inspired modifications of gravity
• Compact stars in Eddington inspired gravity
• Energy-Momentum Squared Gravity
• The bar-mode instability in differentially rotating neutron stars: Simulations in full general relativity
• Evolution of magnetized, differentially rotating neutron stars: Simulations in full general relativity
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Magnetorotational instability in relativistic hypermassive neutron stars
• Rotational properties of hypermassive neutron stars from binary mergers
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• New insights on the matter-gravity coupling paradigm
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraints
• Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
• Eddington-inspired Born-Infeld gravity. Phenomenology of non-linear gravity-matter coupling
• Testing alternative theories of gravity using the Sun
• Search for Dark Matter Effects on Gravitational Signals from Neutron Star Mergers
• Palatini versus metric formulation in higher curvature gravity
• Constraining $f(R)$ gravity by the Large Scale Structure
• Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation
• Radial oscillations and stability of compact stars in Eddington-inspired Born-Infeld gravity
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Compact stars in Eddington-inspired Born-Infeld gravity: Anomalies associated with phase transitions
• Linear perturbations in Eddington-inspired Born-Infeld gravity
• Numerical solutions of the modified Lane-Emden equation in f(R)-gravity
• Jeans analysis in modified gravity
• Constraining f(R) gravity with PLANCK data on galaxy cluster profiles
• Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
• Is Eddington-Born-Infeld theory really free of cosmological singularities?
• Observational discrimination of Eddington-inspired Born-Infeld gravity from general relativity
• Kinetic theory of Jean Instability in Eddington-inspired Born-Infield gravity
• Cosmological constraints for an Eddington-Born-Infeld field
• Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure
• A $f(R)$-gravity model of the Sunyaev-Zeldovich profile of the Coma cluster compatible with {\it Planck} data
• Jeans Analysis of Bok globules in $f(R)$ gravity
• On the stability of a galactic disk in modified gravity
• Local stability of self-gravitating disks in $f(R)$ gravity

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