Rotating cylindrical shell source for Lewis spacetime

TL;DR

This paper constructs rotating thin-shell sources for Lewis spacetime, analyzing their physical properties and restrictions on parameters to ensure physical viability and causality.

Contribution

It introduces a method to model rotating cylindrical sources for Lewis spacetime and derives parameter constraints ensuring physical energy conditions.

Findings

Parameters are restricted to 0 ≤ σ ≤ 1/4 for a > 0

Parameters are restricted to 1/4 ≤ σ ≤ 1/2 for a < 0

Exterior spacetime is free of closed timelike curves under these conditions

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 $a < 0$.