Asymptotically Shear-free and Twist-free Null Geodesic Congruences

Details Asymptotically Shear-free and Twist-free Null Geodesic Congruences Asymptotically Shear-free and Twist-free Null Geodesic Congruences

2007-03-21

arxiv.org/abs/gr-qc/0703108v1

Class.Quant.Grav.24:3085-3090,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1088/0264-9381/24/11/019

We show that, though they are rare, there are asymptotically flat space-times that possess null geodesic congruences that are both asymptotically shear- free and twist-free (surface forming). In particular, we display the class of space-times that possess this property and demonstrate how these congruences can be found. A special case within this class are the Robinson- Trautman space-times. In addition, we show that in each case the congruence is isolated in the sense that there are no other neighboring congruences with this dual property.

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