Five-dimensional metrics of Petrov type 22

Details Five-dimensional metrics of Petrov type 22 Five-dimensional metrics of Petrov type 22

2003-02-19

arxiv.org/abs/gr-qc/0302081v1

Class.Quant.Grav. 20 (2003) 2541-2552

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 figure

Scientific paper

10.1088/0264-9381/20/13/306

We classify all five-dimensional Einstein manifolds that are static, have an
SO(3) isometry group and have Petrov type 22. We use this classification to
show that the localized black hole in the Randall-Sundrum scenario necessarily
has Petrov type 4.

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