https://doi.org/10.1140/epjc/s10052-021-08908-0
Regular Article – Theoretical Physics
Light deflection angle through velocity profile of galaxies in f(R) model
1
Department of Physics, University of Lucknow, 226 007, Lucknow, India
2
Department of Theoretical Physics, CERN, 1211, Geneva 23, Switzerland
c sunilmmv@yahoo.com, murli.manohar.verma@cern.ch
Received:
10
November
2020
Accepted:
24
January
2021
Published online:
2
February
2021
We explore a new realisation of the galactic scale dynamics via gravitational lensing phenomenon in power-law f(R) gravity theory of the type 
with 
for interpreting the clustered dark matter effects. We utilize the single effective point like potential (Newtonian potential + f(R) background potential) obtained under the weak field limit to study the combined observations of galaxy rotation curve beyond the optical disk size and their lensing profile in f(R) frame work. We calculate the magnitude of light deflection angle with the characteristic length scale (because of Noether symmetry in f(R) theories) appearing in the effective f(R) rotational velocity profile of a typical galaxy with the model parameter 
constrained in previous work. For instance, we work with the two nearby controversial galaxies NGC 5533 and NGC 4138 and explore their galactic features by analysing the lensing angle profiles in f(R) background. We also contrast the magnitudes of f(R) lensing angle profiles and the relevant parameters of such galaxies with the generalised pseudo-isothermal galaxy halo model and find consistency.
© The Author(s) 2021
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Funded by SCOAP3
