8 papers
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 +1
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 t…
Singularities, initial and boundary problems for the Tolman-Bondi model
Alexander Gromov
Boundary problem for Tolman-Bondi model is formulated. One-to-one correspondence between singularities hypersurfaces and initial conditions of the Tolman-Bondi model is constructed…
Singularities and asymptotic behavior of the Tolman-Bondi model
Alexander Gromov
The Bondi formula for calculation of the invariant mass in the Tolman- Bondi (TB) model is interprated as a transformation rule on the set of co-moving coordinates. The general pro…
An Exact Solution with and in the LTB model
Alexander Gromov
The exact solution in the LTB model with , is studied. The initial conditions for the metrical function and its derivatives generate the solution with complicated…
The Simplest Exact Solutions in the LTB Model
Alexander Gromov
The rules of calculating three undetermined functions which defined a solution in the LTB model are used to study the class of exact nonhomogene\-ous models with , $Λ=…
The Analysis of Initial Conditions for the LTB Model
Alexander Gromov
The Caushy problem in the LTB model is formulated. The rules of calculating three undetermined functions which defined a solution in the LTB model are presented. One example of exa…