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• W3099252103 abstract "Spherically symmetric dust universe models with a positive cosmological constant $Lambda$, known as $Lambda$-Lema^itre-Tolman-Bondi($Lambda$LTB) models, are considered. We report a method to construct the $Lambda$LTB model from a given distance-redshift relation observed at the symmetry center. The spherical inhomogeneity is assumed to be composed of growing modes. We derive a set of ordinary differential equations for three functions of the redshift, which specify the spherical inhomogeneity. Once a distance-redshift relation is given, with careful treatment of possible singular points, we can uniquely determine the model by solving the differential equations for each value of $Lambda$. As a demonstration, we fix the distance-redshift relation as that of the flat $Lambda$CDM model with $(Omega^{rm dis}_{rm m0}, Omega^{rm dis}_{rm Lambda 0})=(0.3,0.7)$, where $Omega^{rm dis}_{rm m0}$ and $Omega^{rm dis}_{rm Lambda 0}$ are the normalized matter density and the cosmological constant, respectively. Then, we construct the $Lambda$LTB model for several values of $Omega_{rm Lambda 0}:=Lambda/(3H_0^2)$, where $H_0$ is the present Hubble parameter observed at the symmetry center. We obtain void structure around the symmetry center for $Omega_{Lambda 0}<Omega^{rm dis}_{Lambda 0}$. We show the relation between the ratio $Omega_{Lambda0}/Omega^{rm dis}_{Lambda 0}$ and the amplitude of the inhomogeneity." @default.
• W3099252103 created "2020-11-23" @default.
• W3099252103 creator A5040706805 @default.
• W3099252103 creator A5081506291 @default.
• W3099252103 date "2016-10-06" @default.
• W3099252103 modified "2023-09-26" @default.
• W3099252103 title "Inverse construction of the ΛLTB model from a distance-redshift relation" @default.
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• W3099252103 doi "https://doi.org/10.1088/1475-7516/2016/10/009" @default.
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