On parameters of the Levi-Civita solution

Abstract

The Levi-Civita (LC) solution is matched to a cylindrical shell of an anisotropic fluid. The fluid satisfies the energy conditions when the mass parameter $\sigma$ is in the range $0\le \sigma \le 1$. The mass per unit length of the shell is given explicitly in terms of $\sigma$, which has a finite maximum. The relevance of the results to the non-existence of horizons in the LC solution and to gauge cosmic strings is pointed out.

Latex, no figures

References in corpus (3)

• Perfect-fluid cylinders and walls - sources for the Levi-Civita space-time
• On the parameters of Lewis metric for the Weyl class
• The Levi-Civita spacetime

Cited by in corpus (33)

• Shearfree Cylindrical Gravitational Collapse
• Cylindrical Systems in General Relativity
• Gravitational Collapse of Cylindrical Shells Made of Counter-Rotating Dust Particles
• On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
• How the Charge Can Affect the Formation of Gravastars
• On the Levi-Civita solutions with cosmological constant
• On the sources of static plane symmetric vacuum space-times
• Levi-Civita Solutions Coupled with Electromagnetic Fields
• Notes on static cylindrical shells
• Radiating Gravastars
• The static cylinder, gyroscopes, the C metric, and all that
• Einstein-Maxwell fields generated from the gamma-metric and their limits
• Rigidly rotating dust in general relativity
• New Einstein-Maxwell fields of Levi-Civita's type
• Dynamics of Rotating Cylindrical Shells in General Relativity
• Gyroscope precession in cylindrically symmetric spacetimes
• Rotating cylindrical shell source for Lewis spacetime
• Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory
• Geodesics dynamics in the Linet-Tian spacetime with Lambda<0
• Gravitomagnetism in the Lewis cylindrical metrics
• Conformally flat sources for the Linet-Tian spacetime
• Higher Dimensional Cylindrical or Kasner Type Electrovacuum Solutions
• Static Cylindrical Matter Shells
• A New Class of Accelerating Black Hole Solutions
• Dirac Analysis and Integrability of Geodesic Equations for Cylindrically Symmetric Spacetimes
• Translation in Cylindrically Symmetric Vacuum
• Geodesics dynamics in the Linet-Tian spacetime with Lambda>0
• An Invariant Characterization of the Levi-Civita Spacetimes
• Static Cylindrical Symmetric Solutions in the Einstein-Aether Theory
• Matching stationary spacetimes
• Levi-Civita cylinders with fractional angular deficit
• Dynamical Evolution of an Unstable Gravastar with Zero Mass
• Relativistic Bessel Cylinders