A new special class of Petrov type D vacuum space-times in dimension five

Details A new special class of Petrov type D vacuum space-times in dimension five A new special class of Petrov type D vacuum space-times in dimension five

2011-02-15

arxiv.org/abs/1102.3142v1

J.Phys.Conf.Ser.314:012024,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 table, no figures. Contribution to the proceedings of the Spanish Relativity Meeting 2010 held in Granada (Spain)

Scientific paper

10.1088/1742-6596/314/1/012024

Using extensions of the Newman-Penrose and Geroch-Held-Penrose formalisms to
five dimensions, we invariantly classify all Petrov type $D$ vacuum solutions
for which the Riemann tensor is isotropic in a plane orthogonal to a pair of
Weyl alligned null directions

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