Geodesics in the static Mallett spacetime

Details Geodesics in the static Mallett spacetime Geodesics in the static Mallett spacetime

2010-03-19

arxiv.org/abs/1003.3828v1

Phys.Rev.D81:127501,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1103/PhysRevD.81.127501

Mallett has exhibited a cylindrically symmetric spacetime containing closed timelike curves produced by a light beam circulating around a line singularity. I analyze the static version of this spacetime obtained by setting the intensity of the light to zero. Some null geodesics can escape to infinity, but all timelike geodesics in this spacetime originate and terminate at the singularity. Freely falling matter originally at rest quickly attains relativistic velocity inward and is destroyed at the singularity.

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