On Mason's rigidity theorem

Details On Mason's rigidity theorem On Mason's rigidity theorem

2007-12-22

arxiv.org/abs/0712.3846v2

Commun.Math.Phys.285:1-29,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor typos corrected

Scientific paper

10.1007/s00220-008-0643-x

Following an argument proposed by Mason, we prove that there are no algebraically special asymptotically simple vacuum space-times with a smooth, shear-free, geodesic congruence of principal null directions extending transversally to a cross-section of Scri. Our analysis leaves the door open for escaping this conclusion if the congruence is not smooth, or not transverse to Scri. One of the elements of the proof is a new rigidity theorem for the Trautman-Bondi mass.

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