Stellar structure in a Newtonian Theory with variable G.
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2021
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Resumo
A Newtonian-like theory inspired by the Brans–Dicke gravitational Lagrangian has been recently proposed by us. 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 a varying Newtonian
gravitational coupling 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, in the physical properties of stars is discussed.
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Alternative Newtonian-like gravity, Variable gravitational coupling
Citação
FABRIS, J. C. et al. Stellar structure in a Newtonian Theory with variable G. Physics, v. 3, n. 4, p. 1123-1132, 2021. Disponível em: <https://www.mdpi.com/2624-8174/3/4/71>. Acesso em: 06 jul. 2022.