EAS Publications Series
Volume 30, 2008Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
|Page(s)||329 - 332|
|Published online||30 September 2008|
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 329-332
Warped Product Metrics with Rank-1 Ricci Tensor
Mathematics Engineering Department, Istanbul
Technical University, Faculty of Science and Letters, Maslak, 34469 Istanbul, Turkey
2 Department of Mathematics, Faculty of Sciences and Letters, Nigde University, Nigde, Turkey
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.
© EAS, EDP Sciences, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.