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arXiv · 1212.3439

Fully Characterizing Axially Symmetric Szekeres Models With Three Data Sets

Marie-Noëlle Célérier·Priti Mishra·Tejinder P. Singh
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Abstract

Inhomogeneous exact solutions of General Relativity with zero cosmological constant have been used in the literature to challenge the \Lambda CDM model. From one patch Lema\^itre-Tolman-Bondi (LTB) models to axially symmetric quasi-spherical Szekeres (QSS) Swiss-cheese models, some of them are able to reproduce to a good accuracy the cosmological data. It has been shown in the literature that a zero-\Lambda -LTB model with a central observer can be fully determined by two data sets. We demonstrate that an axially symmetric zero-\Lambda -QSS model with an observer located at the origin can be fully reconstructed from three data sets, number counts, luminosity distance and redshift drift. This is a first step towards a future demonstration involving five data sets and the most general Szekeres model.

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Marie-Noëlle Célérier, Priti Mishra, Tejinder P. Singh. 2012-12-14. Fully Characterizing Axially Symmetric Szekeres Models With Three Data Sets. https://doi.org/10.1142/9789814623995_0492

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