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arxiv: 1506.00942 · v1 · pith:6LMJZSJZnew · submitted 2015-06-02 · 🌌 astro-ph.GA · gr-qc

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

classification 🌌 astro-ph.GA gr-qc
keywords disksgravityrotatingself-gravitatingstabilitybeencriteriadensity
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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.

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