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26 April 2024 |
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Lemaître-Tolman-Bondi model: fractality, bang time, and Hubble law I. Initial conditions and compatibility of density and velocity laws | | Alexander Gromov
; Yurij Baryshev
; Daniel J Suson
; Pekka Teerikorpi
; | | Date: |
11 Jun 1999 | | Subject: | gr-qc | | Affiliation: | Sankt-Petersburg State Thecnical University, Russia), Yurij Baryshev (Astronomical Institute of Sankt-Petersburg University, Russia), Daniel J Suson (University-Kingsville, Kingsville, TX, USA) and Pekka Teerikorpi (Tuorla Observatory, University of Tu | | Abstract: | We 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. | | Source: | arXiv, gr-qc/9906041 | | Services: | Forum | Review | PDF | Favorites | |
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