The effects of structure anisotropy on lensing observables in an exact general relativistic setting for precision cosmology

摘要: The study of relativistic, higher order and nonlinear effects has become necessary in recent years the pursuit precision cosmology. We develop apply here a framework to gravitational lensing exact models general relativity that are not restricted homogeneity isotropy, where full nonlinearity relativistic included. specific, anisotropic galaxy cluster model which is based on modified NFW halo density profile described by Szekeres metric. examine increasing levels anisotropy observables like convergence shear for various geometries, finding strong response both rays passing through regions cluster. Deviation from expected values spherically symmetric structure asymmetric with respect path direction thus will persist as statistical effect when averaged over some ensemble such clusters. resulting relative difference geometries can be large approximately 2%, 8%, 24% measure 5%, 10%, 15%, respectively, fraction total mass. For magnitude shear, grow near center 32%, 44% same anisotropy, two extreme geometries. impacted most strongly pass directions along axis maximum dipole structure, while orthogonal this axis, expected. These due structures affect measurements must fully examined an era