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001-es BibID:BIBFORM109269
035-os BibID:(Wos)000636705000007 (Scopus)85082643425
Első szerző:Shaikh, Absos Ali
Cím:Curvature Properties of Generalized pp-Wave Metrics / Absos Ali Shaikh, Tran Quoc Binh, Haradhan Kundu
Dátum:2021
ISSN:1450-9628 2406-3045
Megjegyzések:The main objective of the present paper is to investigate the curvature properties of generalized pp-wave metrics. It is shown that a generalized pp-wave spacetime is Ricci generalized pseudosymmetric, 2-quasi-Einstein and generalized quasi-Einstein in the sense of Chaki. As a special case it is shown that pp-wave spacetime is semisymmetric, semisymmetric due to conformal and projective curvature tensors, R-space by Venzi and satisfies the pseudosymmetric type condition P . P = -1/3Q (S, P). Again we investigate the sufficient condition for which a generalized pp-wave spacetime turns into pp-wave spacetime, pure radiation spacetime, locally symmetric and recurrent. Finally, it is shown that the energy-momentum tensor of pp-wave spacetime is parallel if and only if it is cyclic parallel. Again the energy momentum tensor is Codazzi type if it is cyclic parallel but the converse is not true as shown by an example. Finally, we make a comparison between the curvature properties of the Robinson-Trautman metric and generalized pp-wave metric.
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Einstein field equations
Brinkmann-wave metric
pp-wave metric
generalized pp-wave metric
Robinson-Trautman metric
Einstein manifold
quasi-Einstein manifold
2-quasi-Einstein manifold
generalized quasi-Einstein manifold in the sense of Chaki
recurrent type curvature condition
pseudosymmetry type curvature condition
Megjelenés:Kragujevac Journal of Mathematics. - 45 : 02 (2021), p. 237-258. -
További szerzők:Tran Quoc Binh (1959-) (matematikus) Kundu, Haradhan
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