In this review, various researches on finding the bending angle of light deflected by a
massive gravitating object which regard the Gauss-Bonnet theorem as the premise have …

In this paper, we investigated the effect of dark matter on the weak deflection angle by black
holes at the galactic center. We consider three known dark matter density profiles such as …

The bumblebee model is an extension of the Einstein–Maxwell theory that allows for the
spontaneous breaking of the Lorentz symmetry of the spacetime. In this paper, we study the …

The current paper is dedicated to developing a (3+ 1) decomposition for the minimal
gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and …

In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black
hole space-time in the background of a Kalb-Ramond (KR) field proposed by Yang et …

This work aims to study the radiative corrections in a vector model with spontaneous Lorentz
symmetry violation, known in the literature as the bumblebee model. We consider such a …

The current study aims to examine the impact of the boundary term on the bending angle of
light for a static spherically symmetric black hole in the modified gravity described by the f (T …

An exact Kerr-like solution has been obtained recently in Einstein-bumblebee gravity model
where Lorentz symmetry is spontaneously broken. In this paper, we investigate the …

Based on the Jacobi metric method, this paper studies the deflection of a charged massive
particle by a novel four-dimensional charged Einstein–Gauss–Bonnet black hole. We focus …

We investigate the impact of the modified gravity (MOG) field and the quintessence scalar
field on horizon evolution, black hole (BH) shadow and the weak gravitational lensing …