Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Год издания: 2012
Ключевые слова: Cutting-off, Dust clouds, Einstein equations, Initial conditions, Singular parts, Stress-energy tensor, Thin shells, Weak solution, Astrophysics, Dust, Relativity, Shells (structures)
Аннотация: 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 thiПоказать полностьюn 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 coincides with Lemaitre - Tolman - Bondi one. Copyright © 2012 by World Scientific Publishing Co. Pte. Ltd.
Журнал: 12th Marcel Grossmann Meeting on Recent Dev. in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proc. of the MG 2009 Meeting on General Relativity
Номера страниц: 1388-1390