Jeans analysis in energy-momentum-squared gravity

Abstract

In this paper, we study the Jeans analysis in the context of energy-momentum-squared gravity (EMSG). More specifically we find the new Jeans mass for non-rotating infinite mediums as the smallest mass scale for local perturbations that can be stable against its own gravity. Furthermore, for rotating mediums, specifically for rotating thin disks in the context of EMSG, we find a new Toomre-like criterion for the local gravitational stability. Finally, the results are applied to a hyper-massive neutron star, as an astrophysical system. Using a simplified toy model we have shown that, for a positive (negative) value of the EMSG parameter $\alpha$, the system is stable (unstable) in a wide range of $\alpha$. On the other hand, no observational evidence has been reported on the existence of local fragmentation in HMNS. Naturally, this means that EMSG with positive $\alpha$ is more acceptable from the physical point of view.

21 pages, 6 figs, Published (EPJC)

References in corpus (17)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Massive Pulsar in a Compact Relativistic Binary
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Energy-Momentum Squared Gravity
• From Dark Energy and Dark Matter to Dark Metric
• Jeans analysis in modified gravity
• Axion-photon mixing in quantum field theory and vacuum energy
• Kinetic theory of Jean Instability in Eddington-inspired Born-Infield gravity
• Polytropic dark matter flows illuminate dark energy and accelerated expansion
• Jeans Instability in Classical and Modified Gravity
• On the stability of a galactic disk in modified gravity
• Dark matter and dark energy induced by condensates
• Cosmological perturbations in the $\Lambda$CDM-like limit of a polytropic dark matter model
• Local stability of self-gravitating disks in $f(R)$ gravity

Cited by in corpus (1)

• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism