Lemaître-Tolman-Bondi model: fractality, bang time, and Hubble law I. Initial conditions and compatibility of density and velocity laws

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dc.creatorGromov, Alexander
dc.creatorBaryshev, Yurij
dc.creatorSuson, Daniel J
dc.creatorTeerikorpi, Pekka
dc.date1999-06-11
dc.date1999-12-21
dc.date.accessioned2026-07-07T03:33:15Z
dc.date.available2026-07-07T03:33:15Z
dc.descriptionWe start a systematic study of the Lemaître-Tolman-Bondi (LTB) model as applied to the large scale structure and its evolution. Here we study three possible initial conditions of the LTB models which are asymptotically FRW at large scales: bang time, fractal density (with fractal dimension D=2), and velocity law. Any two of these determine the third one. Fractal density and simultaneous bang time provide a quantitative estimate for the scale beyond which the deflection from the linear Hubble law is small. This border may be identified with the zero-velocity surface. For fractal density and linear Hubble law it is shown that the bang time is necessarily non-simultaneous.
dc.descriptionThe second version with new title and 5 figures. Some corrections are made. 8 pages, A&A style, LaTeX 2 epsilon
dc.identifierhttps://arxiv.org/abs/gr-qc/9906041
dc.identifierhttp://arxiv.org/abs/gr-qc/9906041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36545
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLemaître-Tolman-Bondi model: fractality, bang time, and Hubble law I. Initial conditions and compatibility of density and velocity laws
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