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Five-dimensional metrics of Petrov type 22

Pieter-Jan De Smet
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Abstract

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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Pieter-Jan De Smet. 2003-02-19. Five-dimensional metrics of Petrov type 22. https://doi.org/10.1088/0264-9381%2F20%2F13%2F306

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