T-spheres as a limit of Lemaitre-Tolman-Bondi solutions

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.

6 pages. 1 Reference added. To appear in Phys. Rev. D

References in corpus (3)

• Formation of a galaxy with a central black hole in the Lemaitre-Tolman model
• On The Vaidya Limit of the Tolman Model
• The Tolman-Bondi--Vaidya Spacetime: matching timelike dust to null dust

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