https://doi.org/10.1140/epjc/s10052-022-10329-6
Regular Article - Theoretical Physics
Unified f(R) gravity at local scales
1
Department of Physics, University of Lucknow, 226 007, Lucknow, India
2
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
b sunilmmv@yahoo.com, murli.manohar.verma@cern.ch
Received:
4
January
2022
Accepted:
13
April
2022
Published online:
3
May
2022
We explore the shifted 
model with 
as a distinguishing physical parameter for the study of constraints at local scales. The corresponding dynamics confronted with different geodesics (null and non-null) along with their conformal analog are investigated. For null geodesics, we discuss the light deflection angle, whereas, for non-null geodesics under the weak field limit, we investigate the perihelion advance of the Mercury orbit in f(R) Schwarzschild background, respectively. The extent of an additional force, appearing for non-null geodesics, depends on 
. Such phenomenological investigations allow us to strictly constrain to be approximately 
with a difference of unity in orders at galactic and planetary scales and seem to provide a unique f(R) at local scales. Our results suggest that the present form of the model is suitable for the alternative explanation of dark matter-like effects at local scales.
© The Author(s) 2022
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