Conformal Vector Fields on Doubly Warped Product Manifolds and Applications

This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector field...

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Veröffentlicht in:Advances in Mathematical Physics 2016-01, Vol.2016 (2016), p.722-732
Hauptverfasser: El-Sayied, H. K., Syied, Noha, Shenawy, Sameh
Format: Artikel
Sprache:eng
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Zusammenfassung:This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector fields. Finally, Ricci solitons on doubly warped product spacetime admitting conformal vector fields are considered.
ISSN:1687-9120
1687-9139
DOI:10.1155/2016/6508309