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

preprint2015arXivOpen access

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

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

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