Using four vector f(R) gravity inflation models and nine equations of state, the TOV solver finds that the MPA1 equation of state yields neutron star maximum masses around 2.75 solar masses, inside the mass gap.
$R^p$ Attractors Static Neutron Star Phenomenology
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abstract
In this work we study the neutron star phenomenology of $R^p$ attractor theories in the Einstein frame. The Einstein frame $R^p$ attractor theories have the attractor property that they originate from a large class of Jordan frame scalar theories with arbitrary non-minimal coupling. These theories in the Einstein frame provide a viable class of inflationary models, and in this work we investigate their implications on static neutron stars. We numerically solve the Tolman-Oppenheimer-Volkoff equations in the Einstein frame, for three distinct equations of state, and we provide the mass-radius diagrams for several cases of interest of the $R^p$ attractor theories. We confront the results with several timely constraints on the radii of specific mass neutron stars, and as we show, only a few cases corresponding to specific equations of state pass the stringent tests on neutron stars phenomenology.
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Mass-Gap Neutron Stars from Vector \texorpdfstring{$f(R)$}{f(R)} Gravity Inflationary Deformations
Using four vector f(R) gravity inflation models and nine equations of state, the TOV solver finds that the MPA1 equation of state yields neutron star maximum masses around 2.75 solar masses, inside the mass gap.