This article is cited in 1 scientific paper (total in 1 paper)
On a week solution of Einstein equations for expanding dust
Sergey Ph. Tegai
Institute of Engineering Physics & Radio-Electronics, Siberian Federal University, Krasnoyarsk, Russia
An expanding spherically symmetric dust cloud is considered in a framework of general relativity. Initial conditions leading to a shell-crossing singularity are chosen. The way to construct a week 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. Junction conditions determine the motion of that thin shell. The singular part of dust stress-energy tensor is nontrivial only after the shell-crossing occurs. Before that the solution coincides with Lemaitre–Tolman–Bondi one. A toy model representing an underdensed region in Universe is discussed.
shell-crossing, Lemaitre–Tolman–Bondi solution, inhomogeneous cosmology.
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Received in revised form: 17.07.2010
Sergey Ph. Tegai, “On a week solution of Einstein equations for expanding dust”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 43–49
Citation in format AMSBIB
\paper On a~week solution of Einstein equations for expanding dust
\jour J. Sib. Fed. Univ. Math. Phys.
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