Regular Article - Theoretical Physics
Stability of generic thin shells in conformally flat spacetimes
Department of Physics, Eastern Mediterranean University, Gazimag̃usa, Turkey
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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