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.

arXiv comment16 pages

References in corpus (15)

• Anisotropic Stars in General Relativity
• Maximum bounds on the surface redshift of anisotropic stars
• Spherically symmetric dissipative anisotropic fluids: A general study
• Anisotropic Stars II : Stability
• Dynamical instability and the expansion-free condition
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Compact anisotropic spheres with prescribed energy density
• Expansion-Free Evolving Spheres Must Have Inhomogeneous Energy Density Distributions
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• Expansion-Free Cavity Evolution: Some exact Analytical Models
• Shearfree Cylindrical Gravitational Collapse
• Charged Cylindrical Collapse of Anisotropic Fluid
• Effects of Electromagnetic Field on the Dynamical Instability of Expansionfree Gravitational Collapse
• Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse
• Dynamics of Charged Plane Symmetric Gravitational Collapse

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