An Exact Solution with $f^2 = 1$ and $Λ\ne 0$ in the LTB model

Abstract

The exact solution in the LTB model with $f^2 = 1$, $Λ\ne 0$ is studied. The initial conditions for the metrical function and its derivatives generate the solution with complicated structure including the solutions like "stripping of the shell", "collapce" and "core", or "accretion". In the limit of big time the solution allows the constant Hubble function and the density, depending on time. The transformation to the FRW model is shown. Three pictures are available by e-mail.