Newtonian-like gravity with variable G
Núcleo Cosmo-ufes, Departamento de Física, Universidade Federal do Espírito Santo (UFES), Av. Fernando Ferrari, 540, CEP 29.075-910, Vitória, ES, Brazil
2 National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409, Moscow, Russia
3 Departamento de Física, Universidade Federal de Ouro Preto (UFOP), Campus Universitário Morro do Cruzeiro, 35.400-000, Ouro Preto, Brazil
Accepted: 21 January 2021
Published online: 27 January 2021
We propose a Lagrangian formulation for a varying G Newtonian-like theory inspired by the Brans–Dicke gravity. Rather than imposing an 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021