Universal relations for quasinormal modes of neutron stars in $R^2$ gravity

Abstract

We construct quasinormal modes for neutron stars in $R^2$ gravity in the Einstein frame, considering scalar masses in the sub-neV range. In particular, we investigate the fundamental quadrupole fluid f-modes and the dipole fluid F-modes. Employing six equations of state covering matter content with nucleons, hyperons, and quarks, we then propose universal relations for the quadrupole f-modes and dipole F-modes. The dipole F-modes are ultra-long lived and, for the lower scalar masses, their frequencies are inversely proportional to the corresponding Compton wavelength.

arXiv comment25 pages, 23 figures; Some figures updated

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• The Science of the Einstein Telescope
• Ridges in rotating neutron-star properties due to first order phase transitions
• $\varphi$-modes of neutron stars in a massless scalar-tensor theory
• Compact stars in scalar-tensor theories with a single-well potential and the corresponding $f(R)$ theory