Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem

Karlo de Leon, Ian Vega

We study the weak-field deflection of light by mass distributions described by two-power-law densities $\rho (R)={\rho }_0{R}^{-\alpha }(R+1{)}^{\beta -\alpha }$, where $\alpha$ and $\beta$ are non-negative integers. Ne…