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Newtonian-like gravity with variable G

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arxiv 2009.04434 v4 pith:IZTZQJNZ submitted 2020-09-09 gr-qc astro-ph.COhep-th

Newtonian-like gravity with variable G

classification gr-qc astro-ph.COhep-th
keywords gravitationalgravitynewtonian-liketheorybrans-dickecosmologicalcouplingdependence
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We propose a Lagrangian formulation for a varying $G$ Newtonian-like theory inspired by the Brans-Dicke gravity. Rather than imposing an {\it ad hoc} dependence for the gravitational coupling, as previously done in the literature, in our proposal the running of $G$ emerges naturally from the internal dynamical structure of the theory. We explore the features of the resulting gravitational field for static and spherically symmetric mass distributions as well as within the cosmological framework.

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Cited by 1 Pith paper

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    Derives post-Newtonian equations from a scalar-extended Newtonian Lagrangian and bounds its free parameter with Solar System observations.