Compact statis stars with polytropic equation of state in minimal dilatonic gravity

TL;DR

This paper models relativistic static stars within minimal dilatonic gravity using a polytropic equation of state, revealing effects akin to dark energy and dark matter, and aligning maximum neutron star mass with observations.

Contribution

It provides the first detailed solution of static spherically symmetric stars in minimal dilatonic gravity with a polytropic equation of state, highlighting the dilaton's dual role as dark energy and dark matter.

Findings

Maximum neutron star mass around two solar masses

Mass-radius relation consistent with observations

Dilaton field influences dark energy and dark matter effects

Abstract

We present solution of the equations for relativistic static spherically symmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) using the polytropic equation of state. A polytropic equation of state, which has a good fitting with a more realistic one, is used. Results are obtained for all variables of a single neutron star in the model of MDG. The maximum mass about two solar masses is in accordance with the latest observations of pulsars. Several new effects are observed for the variables related with the dilaton $\Phi$ and the cosmological constant $\Lambda$. The mass-radius relation is also obtained. Special attention is paid to the behavior of the quantities which describe the effects analogous to those of dark energy and dark matter in MDG. The results of the present paper confirm the conclusion that the dilaton $\Phi$ is able to play simultaneously the role of dark energy and dark matter.