Local stability of self-gravitating disks in $f(R)$ gravity

Abstract

In the framework of metric $f(R)$ gravity, we find the dispersion relation for the propagation of tightly wound spiral density waves in the surface of rotating, self-gravitating disks. Also, new Toomre-like stability criteria for differentially rotating disks has been derived for both fluid and stellar disks.

arXiv commentTo appear in Astrophysics and Space Science

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Cited by in corpus (7)

• Jeans analysis in energy-momentum-squared gravity
• Local fragmentation of thin disks in Eddington-inspired gravity
• Wave Propagation in Modified Gravity
• Local Stability of Galactic Discs in Modified Dynamics
• Self-Gravity in Magnetized Neutrino-Dominated Accretion Discs
• 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