https://doi.org/10.1140/epjp/i2011-11071-3
Regular Article
Dynamics of crossing cosmological shells
1
Department of Physics, College of Science, Al-Imam Muhammed Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia
2
Department of Mathematics, College of Science, Al-Imam Muhammed Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia
* e-mail: aeid06@yahoo.com
Received:
10
April
2011
Accepted:
20
June
2011
Published online:
9
August
2011
The crossing of three dust shells is considered as a simplified model for shell crossing during the spherically symmetric collapse of dust which interacts only gravitationally. The formalism is developed in both Schwarzschild and Kruskal coordinates. This represents a highly inhomogeneous closed universe in which the matter is distributed on three thin shells only. We followed their motion with multiple crossings and we found how the number of crossings depends on the initial data.
© Società Italiana di Fisica and Springer, 2011
