A new framework for cosmological expansion in a reformulated Newtonian-Like gravity with variable G

Felipe S. Esc\'orcio; Hermano Velten; J\'ulio C. Fabris; J\'unior D. Toniato

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A new framework for cosmological expansion in a reformulated Newtonian-Like gravity with variable G

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arxiv 2409.01468 v3 pith:NT3OMWSX submitted 2024-09-02 gr-qc

A new framework for cosmological expansion in a reformulated Newtonian-Like gravity with variable G

Felipe S. Esc\'orcio , J\'ulio C. Fabris , J\'unior D. Toniato , Hermano Velten This is my paper

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A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian has been recently proposed in Ref. arXiv:2009.04434(v4). We propose here a new variant of this theory such that the usual Newtonian second law is preserved. The cosmological solutions are analysed and accelerated background expansion can be obtained even in a pure matter dominated universe. This happens due to the dynamic character of the effective gravitational coupling which is sourced by a time evolving scalar field . We also analyse the matter density perturbations and find they exhibit an enhanced growth in comparison with the usual Newtonian like behavior in Einstein-de Sitter model.

A new framework for cosmological expansion in a reformulated Newtonian-Like gravity with variable G

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