T-spheres as a limit of Lemaitre-Tolman-Bondi solutions
General Relativity and Quantum Cosmology
2015-06-25 v2 Astrophysics
High Energy Physics - Theory
Abstract
In the Tolman model there exist two quite different branches of solutions - generic Lemaitre-Tolman-Bondi (LTB) ones and T-spheres as a special case. We show that, nonetheless, T-spheres can be obtained as a limit of the class of LTB solutions having no origin and extending to infinity with the areal radius approaching constant. It is shown that all singularities of T-models are inherited from those of corresponding LBT solutions. In doing so, the disc type singularity of a T-sphere is the analog of shell-crossing.
Cite
@article{arxiv.gr-qc/0509043,
title = {T-spheres as a limit of Lemaitre-Tolman-Bondi solutions},
author = {O. B. Zaslavskii},
journal= {arXiv preprint arXiv:gr-qc/0509043},
year = {2015}
}
Comments
6 pages. 1 Reference added. To appear in Phys. Rev. D