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- Joan Josep Ferrando, Juan Antonio Sáez
- 2003

We determine all the type I vacuum solutions admitting a Killing vector whose Papapatrou field is aligned with a principal bivector of the Weyl tensor. The integration method is based on an invariant… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2008

We analyze the symmetries and other invariant qualities of the D-metrics (type D aligned Einstein Maxwell solutions with cosmological constant whose Debever null principal directions determine… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2003

We show that there are no vacuum solutions with a purely magnetic Weyl tensor with respect to an observer submitted to kinematic restrictions involving first order differential scalars. This result… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2009

We give the necessary and sufficient (local) conditions for a metric tensor to be the Kerr solution. These conditions exclusively involve explicit concomitants of the Riemann tensor. PACS numbers:… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2008

Following an approach by Collinson [1] we solve the Rainich problem for the Killing-Yano tensors: firstly we give the necessary and sufficient conditions for a 2+2 almost-product structure to… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2006

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… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2003

We analyze type I vacuum solutions admitting an isometry whose Killing 2–form is aligned with a principal bivector of the Weyl tensor, and we show that these solutions belong to a family of type I… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2004

We apply a covariant and generic procedure to obtain explicit expressions of the transverse frames that a type I spacetime admits in terms of an arbitrary initial frame. We also present a simple and… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2002

We give a classification of the type D spacetimes based on the invariant differential properties of the Weyl principal structure. Our classification is established using tensorial invariants of the… (More)

- Joan Josep Ferrando, Juan Antonio Sáez
- 2003

We analyze the spacetimes admitting a direction for which the relative electric and magnetic Weyl fields are aligned. We give an invariant characterization of these metrics and study the properties… (More)