Studying the precision of ray tracing techniques with Szekeres models

Abstract

The simplest standard ray tracing scheme employing the Born and Limber approximations and neglecting lens-lens coupling is used for computing the convergence along individual rays in mock N-body data based on Szekeres swiss cheese and onion models. The results are compared with the exact convergence computed using the exact Szekeres metric combined with the Sachs formalism. A comparison is also made with an extension of the simple ray tracing scheme which includes the Doppler convergence. The exact convergence is reproduced very precisely as the sum of the gravitational and Doppler convergences along rays in Lemaitre-Tolman-Bondi models. This is not the case when the models are based on non-symmetric Szekeres models. For such models, there is a significant deviation between the exact and ray traced paths and hence also the corresponding convergences.

28 pages, 16 captioned figures. Accepted for publication in Physical Review D. v2: Typos corrected (in appendix B and figure 6) + 2 references added. Results and conclusions unchanged. v3: Errors in section VI A and appendix C 2 corrected. Results in section VI A changed

References in corpus (36)

• Cosmology with Weak Lensing Surveys
• Lemaitre-Tolman-Bondi model and accelerating expansion
• On cosmological observables in a swiss-cheese universe
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0
• Light-cone averages in a swiss-cheese universe
• The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous universe
• Mapping Luminosity-Redshift Relationship to LTB Cosmology
• Szekeres Swiss-Cheese model and supernova observations
• Local Void vs Dark Energy: Confrontation with WMAP and Type Ia Supernovae
• Anti-lensing: the bright side of voids
• The Szekeres Swiss Cheese model and the CMB observations
• Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size
• Can a supervoid explain the Cold Spot?
• The Velocity Field of the Local Universe from Measurements of Type Ia Supernovae
• Swiss Cheese and a Cheesy CMB
• Apparent and average acceleration of the Universe
• Do we care about the distance to the CMB? Clarifying the impact of second-order lensing
• Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe
• On the local variation of the Hubble constant
• Light propagation in a homogeneous and anisotropic universe
• Multiple non-spherical structures from the extrema of Szekeres scalars
• Disentangling dark sector models using weak lensing statistics
• Methods for studying the accuracy of light propagation in N-body simulations
• Analytical Estimate of the Effect of Spherical Inhomogeneities on Luminosity Distance and Redshift
• Vector and Tensor Contributions to the Luminosity Distance
• Multiple Lensing of the Cosmic Microwave Background anisotropies
• Effect of inhomogeneities on high precision measurements of cosmological distances
• The Cold Spot as a Large Void: Rees-Sciama effect on CMB Power Spectrum and Bispectrum
• A critical assessment of some inhomogeneous pressure Stephani models
• Wide-Field Lensing Mass Maps from DES Science Verification Data: Methodology and Detailed Analysis
• Constraining the growth of perturbations with lensing of supernovae
• Lensing effects in inhomogeneous cosmological models
• The Jacobi map for gravitational lensing: the role of the exponential map
• The magnitude-redshift relation in a realistic inhomogeneous universe

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• Towards statistically homogeneous and isotropic perfect fluid universes with cosmic backreaction
• Redshift drift in an inhomogeneous universe: averaging and the backreaction conjecture
• Coarse-grained description of cosmic structure from Szekeres models
• Non-Spherical Szekeres models in the language of Cosmological Perturbations
• The Local Value of $H_0$ in an Inhomogeneous Universe
• Symmetry and Equivalence in Szekeres Models
• Cosmic backreaction and the mean redshift drift from symbolic regression
• CMB seen through random Swiss Cheese
• Lagrangian theory of structure formation in relativistic cosmology. VI. Comparison with Szekeres exact solutions
• Frame Rotation in the Szekeres Spacetimes
• Physical geometry of the quasispherical Szekeres models
• Black hole formation from the gravitational collapse of a non-spherical network of structures
• On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization
• Perturbatively constructed cosmological model with periodically distributed dust inhomogeneities
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
• Testing inhomogeneous cosmography in our cosmic neighborhood using CosmicFlows-4
• Accurately computing weak lensing convergence
• Beyond relativistic Lagrangian perturbation theory. I. An exact-solution controlled model for structure formation