Rotating cylindrical shell source for Lewis spacetime

Abstract

Rotating thin-shell-like sources for the stationary cylindrically symmetric vacuum solutions (Lewis) are constructed and studied. It is found, by imposing the non existence of timelike curves in the exterior of the shell, and that the source satisfies the weak, dominant and strong energy conditions that the parameters, commonly denoted by $a$ and $\sigma$, are restricted to $0\le \sigma \le 1/4$ when $a>0$, or $1/4\le \sigma \le 1/2$ when $a<0$.

18 pages Latex, to appear in Class.Quantum Grav

References in corpus (3)

• On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
• Levi-Civita Solutions Coupled with Electromagnetic Fields
• On the gravitomagnetic effects in cylindrically symmetric spacetimes

Cited by in corpus (11)

• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Cylindrical Systems in General Relativity
• Collapse of a Scalar Field in 2+1 Gravity
• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• Comment on "Absence of trapped surfaces and singularities in cylindrical collapse"
• New classes of exact interior nonvacuum solutions to the GR field equations for spacetimes sourced by a rigidly rotating stationary cylindrical anisotropic fluid
• Conformally flat sources for the Linet-Tian spacetime
• Geodesics dynamics in the Linet-Tian spacetime with Lambda>0
• Centrifugal force induced by relativistically rotating spheroids and cylinders
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid
• Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions