A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian has been recently proposed. For static configurations the gravitational coupling acquires an intrinsic spatial dependence within the matter distribution. Therefore, the interior of astrophysical configurations may provide a testable environment for this approach as long as no screening mechanism is evoked. In this work we focus on the stellar hydrostatic equilibrium structure in such varying G scenario. A modified Lane-Emden equation is presented and its solutions for various values of the polytropic index are discussed. The role played by the theory parameter ω, the analogue of the Brans-Dicke parameter, on the physical properties of stars is discussed.
@article{arxiv.2109.08687,
title = {Stellar structure in a Newtonian theory with variable $G$},
author = {Júlio C. Fabris and Túlio Ottoni and Júnior D. Toniato and Hermano Velten},
journal= {arXiv preprint arXiv:2109.08687},
year = {2021}
}