Neutron star in Logarithmic model of Cartan $F(R)$ gravity

TL;DR

This paper explores how a logarithmic Cartan $F(R)$ gravity model affects neutron star properties, showing that scalar fields can increase neutron star masses, aligning theory with observations.

Contribution

It derives the effective scalar potential in Cartan $F(R)$ gravity and investigates its impact on neutron star mass-radius relations.

Findings

Scalar field contribution increases neutron star mass

Effective potential derived using auxiliary field method

Results support compatibility with current neutron star observations

Abstract

Cartan $F(R)$ gravity introduces the equivalent scalar-tensor theory by extending the gravity sector. From the solution of the modified Cartan equation leads to the interaction with the scalar field and the fermion. We derived the effective potential of the scalar field using the auxiliary field method, which is commonly used in studies of spontaneous chiral symmetry breaking. Using this effective potential we investigated the mass-radius relation of neutron star to solve the Tolman-Oppenheimer-Volkoff equation. By the numerical computation, we found that the contribution of the scalar field increases the mass of a neutron star. This could give theoretical plausibility to the current observations.