Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-06-11
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
The second version with new title and 5 figures. Some corrections are made. 8 pages, A&A style, LaTeX 2 epsilon
Scientific paper
We start a systematic study of the Lema\^{i}tre-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.
Baryshev Yurij
Gromov Alexander
Suson Daniel J.
Teerikorpi Pekka
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