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Ferrando, Joan Josep; Sáez, Juan Antonio

Type I vacuum solutions with aligned Papapetrou fields: an intrinsic characterization. (English) Zbl 1112.83019

J. Math. Phys. 47, No. 11, 112501, 12 p. (2006).
Summary: We show that Petrov type I vacuum solutions admitting a Killing vector whose Papapetrou field is aligned with a principal bivector of the Weyl tensor are the Kasner and Taub metrics, their counterpart with timelike orbits and their associated windmill-like solutions, as well as the Petrov homogeneous vacuum solution. We recover all these metrics by using an integration method based on an invariant classification which allows us to characterize every solution. In this way we obtain an intrinsic and explicit algorithm to identify them.

Cited in 5 Documents

MSC:

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
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References:

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