Neutron stars in the theory of gravity with non-minimal derivative coupling with realistic equation of state

Neutron stars have been studied in various modified theories of gravity. The purpose of this work is to study the internal configurations of neutron stars in the theory of gravity with nonminimal derivative coupling of the scalar field and the curvature, with a cosmological constant and with realistic equation of state. In this paper we use realistic equations of state for the stellar matter belonging to the BSk family of equations of state. We construct neutron star configurations in this model. Mass-radius diagrams were obtained for various values of the non-minimal coupling parameter ℓ.