TL;DR
This paper develops a framework for modeling relativistic stars within minimal dilatonic gravity, providing new equations and boundary conditions that incorporate dark matter and dark energy effects.
Contribution
It introduces a novel approach to relativistic star modeling in MDG, overcoming previous challenges by formulating new EOS and boundary conditions.
Findings
Derived basic equations for SSSS in MDG.
Presented results for neutron star matter EOS.
Introduced new cosmological and dilaton energy-pressure densities.
Abstract
We present the basic equations and relations for the relativistic static spherically symmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) which is {\em locally} equivalent to the f(R) theories of gravity and gives an alternative description of the effects of dark matter and dark energy. The results for the simplest form of the relativistic equation of state (EOS) of neutron matter are represented. Our approach overcomes the well-known difficulties of the physics of SSSS in the f(R) theories of gravity introducing two novel EOS for cosmological energy-pressure densities and dilaton energy-pressure densities, as well as proper boundary conditions.
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