Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Using a perturbative technique, in this work we study the deflection of null and timelike signals extended Einstein-Maxwell spacetime, Born-Infeld gravity charged Ellis-Bronnikov (CEB) spacetime weak field limit. The angles are found to take (quasi-)series form impact parameter, automatically takes into account finite distance effect source observer. method is also applied find deflections CEB with arbitrary dimension. It's shown that leading non-trivial order, some $n$-dimensional spacetimes order $\mathcal{O}(M/b)^{n-3}$. We then asymptotically non-flat studied nonlinear electrodynamical scalar theory. angle such at trivial be not $\pi$ anymore. In all these cases, agree numerical results extremely well. effects nontrivial parameters as well signal velocity on analyzed.