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 $\ell 20-30$.

arXiv comment9 pages, 3 figures

References in corpus (31)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Observational Probes of Cosmic Acceleration
• On the Numerical Integration of Einstein's Field Equations
• Correlated Fluctuations in Luminosity Distance and the (Surprising) Importance of Peculiar Motion in Supernova Surveys
• Calibrating the Nonlinear Matter Power Spectrum: Requirements for Future Weak Lensing Surveys
• General relativity and cosmic structure formation
• Effects of nonlinear inhomogeneity on the cosmic expansion with numerical relativity
• Departures from the FLRW Cosmological Model in an Inhomogeneous Universe: A Numerical Examination
• Measuring neutrino masses with a future galaxy survey
• Anti-lensing: the bright side of voids
• General Requirements on Matter Power Spectrum Predictions for Cosmology with Weak Lensing Tomography
• On the validity of the Born approximation for beyond-Gaussian weak lensing observables
• Integration of inhomogeneous cosmological spacetimes in the BSSN formalism
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. I - Key results
• Impact of Baryonic Processes on Weak Lensing Cosmology: Power Spectrum, Non-Local Statistics, and Parameter Bias
• Observable Deviations from Homogeneity in an Inhomogeneous Universe
• CMB-lensing beyond the Born approximation
• Evolution of a family of expanding cubic black-hole lattices in numerical relativity
• Black Hole Universe with $\Lambda$
• The effect of early radiation in N-body simulations of cosmic structure formation
• Systematic errors in the measurement of neutrino masses due to baryonic feedback processes: Prospects for stage IV lensing surveys
• Weak gravitational lensing of finite beams
• Light propagation through black-hole lattices
• On the perturbation of the luminosity distance by peculiar motions
• Vector and Tensor Contributions to the Luminosity Distance
• Ray tracing and Hubble diagrams in post-Newtonian cosmology
• The theory of stochastic cosmological lensing
• Non-linear relativistic contributions to the cosmological weak-lensing convergence
• RAY-RAMSES: a code for ray tracing on the fly in N-body simulations
• A cosmologically motivated reference formulation of numerical relativity
• Probing Neutrinos from Planck and Forthcoming Galaxy Redshift Surveys

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• Cosmological Forecast for non-Gaussian Statistics in large-scale weak Lensing Surveys
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• Preheating in Full General Relativity
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• Comparing Fully General Relativistic and Newtonian Calculations of Structure Formation
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• Relativistic cosmological large scale structures at one-loop
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• Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison
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• Cosmological distances with general-relativistic ray tracing: framework and comparison to cosmographic predictions
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• On the question of measuring spatial curvature in an inhomogeneous universe
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• Isolating non-linearities of light propagation in inhomogeneous cosmologies
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• Gravitational corrections to light propagation in a perturbed FLRW-universe and corresponding weak lensing spectra
• BiGONLight: light propagation with bi-local operators in Numerical Relativity
• Accurate relativistic observables from post-processing light cone catalogues
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