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

M. Halilsoy; S. Habib Mazharimousavi; S. N. Hamad Amen

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

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arxiv 1708.04588 v1 pith:B6DPXDAS submitted 2017-08-03 gr-qc

S. Habib Mazharimousavi , M. Halilsoy , S. N. Hamad Amen This is my paper

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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.

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