Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state

Abstract

We study spherically symmetric timelike thin-shells in $3+1-$dimensional bulk spacetime with a variable equation of state for the fluid presented on the shell. In such a fluid the angular pressure $p$ is a function of both surface energy density $\sigma$ and the radius $R$ of the thin-shell. Explicit cases of the thin shells connecting two non-identical cloud of strings spacetimes and a flat Minkowski spacetime to the Schwarzschild metric are investigated.

9 pages, 2 figures; Final version published in Int. J. Mod. Phys. D

References in corpus (8)

• Clouds of strings in third-order Lovelock gravity
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Cloud of strings for radiating black holes in Lovelock gravity
• Stability of charged thin shells
• Entropy of thin shells in a (2+1)-dimensional asymptotically AdS spacetime and the BTZ black hole limit
• Stability of thin-shell interfaces inside compact stars
• Thin shells joining local cosmic string geometries
• On the dynamics of thin shells of counter rotating particles