Void Lensing in Cubic Galileon Gravity

Weak lensing studies via cosmic voids are a promising probe of Modified Gravity (MG). The Excess Surface mass Density (ESD) is widely used as a lensing statistics in weak lensing researches. In this paper we use the ray-tracing method to study the ESD around voids in simulations based on the Cubic Galileon (CG) gravity. With the compilation of N-body simulation and ray-tracing method, changes on the structure formation and deflection angle resulting from MG can both be considered, making the extraction of lensing signals more realistic. We find good agreements between the measurement and theoretical prediction of ESD for CG gravity. Meanwhile, the effect on the deflection angle is found to be incomparable to that on the structure formation in CG, indicating an equivalence between ESD (statistics) and the projection of 3D dark matter density field for this gravity. Finally, we demonstrate that it is impossible to distinguish CG and General Relativity in our simulation with an effective survey area $\sim1550deg^2$ and a galaxy number density of $10arcmin^{-2}$, implying that void lensing statistics may not be the optimal probe on testing CG gravity. The methodology employed in this paper that combines N-body simulation and ray-tracing method can be a robust way to measure the lensing signals from simulations based on the MGs, and especially on that who significantly modifies the deflection angle.