Formation of thin shells from Lemaitre - Tolman - Bondi dust

Автор: Drobov Ivan Vladimirovich, Tegai S. Ph.

Журнал: Пространство, время и фундаментальные взаимодействия @stfi

Статья в выпуске: 1 (1), 2012 года.

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We consider two different ways to receive a thin shell from Lemaitre - Tolman - Bondi solution for a dust cloud. The first method consists in taking a vanishing thickness limit of a thick dust layer. In that case we show a contradiction between matching conditions on thin shell and field equation for the dust. The second way is a formation of the shell due to the intersection of dust layers. For smooth initial conditions we provide the weak solution of Einstein equations with singular terms in stress-energy tensor corresponding to a thin shell. We show that the obtained thin shells have nonzero tangential pressure in spite of the absence of interaction between Lemaitre - Tolman - Bondi dust particles.

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Thin shells, dust, vanishing thickness limit, shell crossing, weak solution

Короткий адрес: https://sciup.org/14266078

IDR: 14266078

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