Rotating cylindrical shell source for Lewis spacetime

Details Rotating cylindrical shell source for Lewis spacetime Rotating cylindrical shell source for Lewis spacetime

2002-06-06

arxiv.org/abs/gr-qc/0206019v1

Class.Quant.Grav. 19 (2002) 3809-3820

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages Latex, to appear in Class.Quantum Grav

Scientific paper

10.1088/0264-9381/19/14/319

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 $a < 0$.

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