Calzada, Pelayo V., Rincón, Ángel, Bargueño, Pedro
Comparing f(R) and scale-dependent gravities
The European Physical Journal C. 2023, 83:1101. https://doi.org/10.1140/epjc/s10052-023-12269-1
URI: http://hdl.handle.net/10045/139129
DOI: 10.1140/epjc/s10052-023-12269-1
ISSN: 1434-6052
Abstract: 
In this work, we prove that every f(R) gravity can be represented as a scale-dependent one, but not every scale-dependent gravity can be represented in the f(R) framework. Therefore, the f(R) formalism is strictly included in the scale-dependent approach. This scale-dependent representation of f(R) gravity allows for a novel approach toward both theories. In particular, we obtain a novel dynamical characterization of light rings for f(R(r)) theories and we have shown that some previous solutions of f(R) theories correspond to solutions of scale-dependent gravity. Finally, new solutions to scale-dependent gravity are identified with the help of the f(R) representation.
Keywords:f(R) gravity, Scale-dependent gravity
Springer Nature
info:eu-repo/semantics/article