MG12 - Talk detail |
Participant |
Tegai, Sergey | |
Institution |
Siberian Federal University - Belopolsky St., 2A-156 - Krasnoyarsk - - Russia | |
Session |
Talk |
Abstract |
COT2 |
A weak solution of Einstein equations for expanding dust |
An expansion of a spherically symmetric dust cloud is considered with initial conditions leading to a shell-crossing singularity. The way to construct a weak solution for such a case is proposed. Suggested method consists in cutting off the region containing the shell-crossing and matching the remaining parts of space-time at a thin shell. The motion of that thin shell is then found from junction conditions. The stress-energy tensor of the extended solution has singular part which is nontrivial only after the shell-crossing occurs. Before that the solution coinsides with Lemaitre Tolman - Bondi one. |