Abstract:
The phenomenon of gravitational lensing in both strong and weak deflection
limits is discussed in this thesis. Solutions of Buchdahl’s ODE in R2 gravity
are considered as spacetimes in this work. Weak deflection angle by the ap
plication of Gauss Bonnet theorem for asymptotically flat special Buchdahl
inspired metric was found and the magnification and image distortions are
observed modeling M87* black hole as a lens. Also, analytic expression for
strong deflection angle is determined followed by modeling black holes Sgr
A* and M87* as lens. On the basis of which image positions and separa
tions are investigated. For the stationary axi-symmetric SBI solution in R2
gravity, weak deflection angle is computed. Magnifications for primary and
secondary images are explored by considering M87* as a lens.
