Type I vacuum solutions with aligned Papapetrou fields: an intrinsic characterization

Details Type I vacuum solutions with aligned Papapetrou fields: an intrinsic characterization Type I vacuum solutions with aligned Papapetrou fields: an intrinsic characterization

2003-10-14

arxiv.org/abs/gr-qc/0310070v2

J.Math.Phys. 47 (2006) 112501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages; v2: added new section, references and table

Scientific paper

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.

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