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 nonidentical cloud of strings spacetimes and a flat Minkowski spacetime to the Schwarzschild metric are investigated.