A Note on Generalized Quasi-Einstein and (lambda, n+m)-Einstein Manifolds with Harmonic Conformal Tensor
Articolo
Data di Pubblicazione:
2022
Citazione:
A Note on Generalized Quasi-Einstein and (lambda, n+m)-Einstein Manifolds with Harmonic Conformal Tensor / S. Shenawy, C.A. Mantica, L.G. Molinari, N. Bin Turki. - In: MATHEMATICS. - ISSN 2227-7390. - 10:10(2022 May 18), pp. 1731.1-1731.11. [10.3390/math10101731]
Abstract:
Sufficient conditions for a Lorentzian generalized quasi-Einstein manifold (M, g, f, mu) to be a generalized Robertson-Walker spacetime with Einstein fibers are derived. The Ricci tensor in this case gains the perfect fluid form. Likewise, it is proven that a (lambda, n + m)-Einstein manifold (M, g, w) having harmonic Weyl tensor, (del(j)w) (del(m)w)C-jklm = 0 and del(l)w del(l)w < 0 reduces to a perfect fluid generalized Robertson-Walker spacetime with Einstein fibers. Finally, (M, g, w) reduces to a perfect fluid manifold if phi = m del(ln w) is a phi(Ric)-vector field on M and to an Einstein manifold if psi = del w is a phi(Ric)-vector field on M. Some consequences of these results are considered.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
(lambda, n + m)-Einstein manifolds; generalized quasi-Einstein manifold; perfect fluid; torse-forming vector fields
Elenco autori:
S. Shenawy, C.A. Mantica, L.G. Molinari, N. Bin Turki
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