A class of integrable metrics

Andrés Anabalón, Carlos Batista

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

4 Citas (Scopus)


In four dimensions, the most general metric admitting two commuting Killing vectors and a rank-two Killing tensor can be parametrized by ten arbitrary functions of a single variable. We show that picking a special vierbein, reducing the system to eight functions, implies the existence of two geodesic and share-free, null congruences, generated by two principal null directions of the Weyl tensor. Thus, if the spacetime is an Einstein manifold, the Goldberg-Sachs theorem implies it is Petrov type D, and by explicit construction, is in the Carter class. Hence, our analysis provides a straightforward connection between the most general integrable structure and the Carter family of spacetimes.

Idioma originalInglés
Número de artículo064079
PublicaciónPhysical Review D
EstadoPublicada - 30 mar. 2016
Publicado de forma externa


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