No CrossRef data available.
Article contents
Warped Product Metrics withRank-1 Ricci Tensor
Published online by Cambridge University Press: 30 September 2008
Abstract
Locally 2+2 warped product metrics with a Lorentzian base and Riemannian fiber are described in Newman-Penrose formalism. It is shown that solutions with rank-1 Ricci tensor are characterized by Φ11 + 3Λ = 0 and Φ00Φ22 = (Φ11-3Λ)2. Integrability conditions for the Bianchi identities are studied and it is proved that the sources are null Einstein-Maxwell fields, massless scalar fields or stiff matter fields corresponding respectively to Λ = 0, Λ > 0 or Λ < 0.
- Type
- Research Article
- Information
- Copyright
- © EAS, EDP Sciences, 2008