English

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

General Relativity and Quantum Cosmology 2025-07-14 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2409.01468,
  title  = {A new framework for cosmological expansion in a reformulated Newtonian-Like gravity with variable G},
  author = {Felipe S. Escórcio and Júlio C. Fabris and Júnior D. Toniato and Hermano Velten},
  journal= {arXiv preprint arXiv:2409.01468},
  year   = {2025}
}

Comments

Version 2 has undergone significant revisions, with updated figures and additional text incorporated