Expansion-free Cylindrically Symmetric Models

Abstract

This paper investigates cylindrically symmetric distribution of an-isotropic fluid under the expansion-free condition, which requires the existence of vacuum cavity within the fluid distribution. We have discussed two family of solutions which further provide two exact models in each family. Some of these solutions satisfy Darmois junction condition while some show the presence of thin shell on both boundary surfaces. We also formulate a relation between the Weyl tensor and energy density.

16 pages

References in corpus (4)

• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Shearfree Cylindrical Gravitational Collapse
• Charged Cylindrical Collapse of Anisotropic Fluid
• Dynamics of Charged Plane Symmetric Gravitational Collapse

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