https://doi.org/10.1140/epjc/s10052-017-5059-3
Regular Article - Theoretical Physics
Stability of generic thin shells in conformally flat spacetimes
Department of Physics, Eastern Mediterranean University, Gazimag̃usa, Turkey
* e-mail: zahra.amirabi@emu.edu.tr
Received:
7
September
2016
Accepted:
12
July
2017
Published online:
24
July
2017
Some important spacetimes are conformally flat; examples are the Robertson–Walker cosmological metric, the Einstein–de Sitter spacetime, and the Levi-Civita–Bertotti–Robinson and Mannheim metrics. In this paper we construct generic thin shells in conformally flat spacetime supported by a perfect fluid with a linear equation of state, i.e., 
It is shown that, for the physical domain of 
, i.e., 
, such thin shells are not dynamically stable. The stability of the timelike thin shells with the Mannheim spacetime as the outer region is also investigated.
© The Author(s), 2017
