Constructing Realistic Szekeres Models from Initial and Final Data

Abstract

The Szekeres family of inhomogeneous solutions, which are defined by six arbitrary metric functions, offers a wide range of possibilities for modelling cosmic structure. Here we present a model construction procedure for the quasispherical case using given data at initial and final times. Of the six arbitrary metric functions, the three which are common to both Szekeres and Lemaître-Tolman models are determined by the model construction procedure of Krasinski & Hellaby. For the remaining three functions, which are unique to Szekeres models, we derive exact analytic expressions in terms of more physically intuitive quantities - density profiles and dipole orientation angles. Using MATLAB, we implement the model construction procedure and simulate the time evolution.

40 pages; 18 figures; To be published in JCAP

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Cited by in corpus (20)

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• Coarse-grained description of cosmic structure from Szekeres models
• Effect of inhomogeneities on high precision measurements of cosmological distances
• Non-Spherical Szekeres models in the language of Cosmological Perturbations
• The effects of structure anisotropy on lensing observables in an exact general relativistic setting for precision cosmology
• Symmetry and Equivalence in Szekeres Models
• Modelling Inhomogeneity in Szekeres Spacetime
• Testing the Copernican Principle with Hubble Parameter
• Calculating Observables in Inhomogeneous Cosmologies I: General Framework
• Lagrangian theory of structure formation in relativistic cosmology. VI. Comparison with Szekeres exact solutions
• Effects of anisotropy on gravitational infall in galaxy clusters using an exact general relativistic model
• 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
• Towards the geometry of the universe from data
• On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization
• Beyond relativistic Lagrangian perturbation theory. I. An exact-solution controlled model for structure formation
• Off-center observers versus supernovae in inhomogeneous pressure universes
• Quasilocal horizons in inhomogeneous cosmological models
• Rotation, Embedding and Topology for the Szekeres Geometry