https://doi.org/10.1140/epjc/s10052-023-12269-1
Regular Article - Theoretical Physics
Comparing f(R) and scale-dependent gravities
Departamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, 03690, Alicante, Spain
Received:
7
September
2023
Accepted:
18
November
2023
Published online:
3
December
2023
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.
© The Author(s) 2023
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