General Relativistic Corrections to the Weak Lensing Convergence Power Spectrum

Abstract

We compute the weak lensing convergence power spectrum, $C^{\kappa \kappa }(\theta )$, in a dust-filled universe using fully non-linear general relativistic simulations. The spectrum is then compared to more standard, approximate calculations by computing the Bardeen (Newtonian) potentials in linearized gravity and utilizing the Born approximation. We find corrections to the angular power spectrum amplitude of order ten percent at very large angular scales, $\ell 2-3$, and percent-level corrections at intermediate angular scales of $\ell 20-30$.

9 pages, 3 figures

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• Isolating non-linearities of light propagation in inhomogeneous cosmologies
• First investigation of void statistics in numerical relativity simulations
• Accurate relativistic observables from post-processing light cone catalogues
• BiGONLight: light propagation with bi-local operators in Numerical Relativity
• Cosmological Simulations of Number Counts