Hyperons in neutron stars within an Eddington-inspired Born-Infeld theory of gravity

We investigate the mass-radius relation of the neutron star (NS) with hyperons inside its core by using the Eddington-inspired Born-Infeld (EiBI) theory of gravity. The equation of state of the star is calculated by using the relativistic mean field model under which the standard SU(6) prescription and hyperon potential depths are used to determine the hyperon coupling constants. We found that, for 4 x 10(6) m(2) less than or similar to kappa less than or similar to 6 x 10(6) m(2), the corresponding NS mass and radius predicted by the EiBI theory of gravity is compatible with observational constraints of maximum NS mass and radius. The corresponding kappa value is also compatible with the kappa range predicted by the astrophysical-cosmological constraints. We also found that the parameter kappa could control the size and the compactness of a neutron star.