Stability of Anisotropic Cylinder with Zero Expansion
arXiv:1305.5629 · doi:10.1093/mnras/stt112
Abstract
We study the dynamical instability of anisotropic collapsing cylinder with the expansion-free condition, which generates vacuum cavity within fluid distribution. The perturbation scheme is applied to distinguish Newtonian, post-Newtonian and post-post Newtonian terms, which are used for constructing dynamical equation at Newtonian and post-Newtonian regimes. We analyze the role of pressure anisotropy and energy density inhomogeneity on the stability of collapsing cylinder. It turns out that stability of the cylinder depends upon these physical properties of the fluid, not on the stiffness of the fluid.
16 pages, no figure
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Cited by in corpus (5)
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- Dynamics of Anisotropic Collapsing Spheres in Einstein Gauss-Bonnet Gravity
- Dynamical Instability of Charged Gaseous Cylinder
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