Redshift drift in axially symmetric quasi-spherical Szekeres models

Abstract

Models of inhomogeneous universes constructed with exact solutions of Einstein's General Relativity have been proposed in the literature with the aim of reproducing the cosmological data without any need for a dark energy component. Besides large scale inhomogeneity models spherically symmetric around the observer, Swiss-cheese models have also been studied. Among them, Swiss-cheeses where the inhomogeneous patches are modeled by different particular Szekeres solutions have been used for reproducing the apparent dimming of the type Ia supernovae (SNIa). However, the problem of fitting such models to the SNIa data is completely degenerate and we need other constraints to fully characterize them. One of the tests which is known to be able to discriminate between different cosmological models is the redshift-drift. This drift has already been calculated by different authors for Lemaître-Tolman-Bondi (LTB) models. We compute it here for one particular axially symmetric quasi-spherical Szekeres (QSS) Swiss-cheese which has previously been shown to reproduce to a good accuracy the SNIa data, and we compare the results to the drift in the $\Lambda$CDM model and in some LTB models that can be found in the literature. We show that it is a good discriminator between them. Then, we discuss our model's remaining degrees of freedom and propose a recipe to fully constrain them.

15 pages, 7 figures, minor changes in title, text, figures and references; conclusions unchanged, this version matches the published version

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• Multipole decomposition of redshift drift -- model independent mapping of the expansion history of the Universe
• Redshift drift in a pressure-gradient cosmology
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• A critical assessment of some inhomogeneous pressure Stephani models
• Redshift drift in a universe with structure I: Lemaitre-Tolman-Bondi structures with arbitrary angle of entry of light
• Quantifying effects of inhomogeneities and curvature on gravitational wave standard siren measurements of $H(z)$
• Frame Rotation in the Szekeres Spacetimes
• Redshift drift in a universe with structure II: Light rays propagated through a Newtonian N-body simulation
• Redshift drift in a universe with structure III: Numerical relativity
• Algebraic symmetries of the observables on the sky: Variable emitters and observers
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• Dynamical analysis of the redshift drift in FLRW universes