Geodesic
On pseudo H-symmetric Lorentzian manifolds with applications to relativity
Filomat, Tome 34 (2020) no. 10, p. 3287

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we introduce a new type of curvature tensor named H-curvature tensor of type (1, 3) which is a linear combination of conformal and projective curvature tensors. First we deduce some basic geometric properties of H-curvature tensor. It is shown that a H-flat Lorentzian manifold is an almost product manifold. Then we study pseudo H-symmetric manifolds (PHS) n (n > 3) which recovers some known structures on Lorentzian manifolds. Also, we provide several interesting results. Among others, we prove that if an Einstein (PHS) n is a pseudosymmetric (PS) n , then the scalar curvature of the manifold vanishes and conversely. Moreover, we deal with pseudo H-symmetric perfect fluid spacetimes and obtain several interesting results. Also, we present some results of the spacetime satisfying divergence free H-curvature tensor. Finally, we construct a non-trivial Lorentzian metric of (PHS) 4 .
DOI : 10.2298/FIL2010287D
Classification : 53C25, 53C35, 53C50, 53C30
Keywords: Lorentzian manifolds, H-curvature tensor, (PHS)n, energy momentum tensor, perfect fluid spacetimes, Einstein’s field equation, GRW spacetimes 
Uday C; and De; Young Jin Suh; Sudhakar K Chaubey; Sameh Shenawy. On pseudo H-symmetric Lorentzian manifolds with applications to relativity. Filomat, Tome 34 (2020) no. 10, p. 3287 . doi: 10.2298/FIL2010287D
@article{10_2298_FIL2010287D,
     author = {Uday C and and De and Young Jin Suh and Sudhakar K Chaubey and Sameh Shenawy},
     title = {On pseudo {H-symmetric} {Lorentzian} manifolds with applications to relativity},
     journal = {Filomat},
     pages = {3287 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010287D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010287D/}
}
TY  - JOUR
AU  - Uday C
AU  - and De
AU  - Young Jin Suh
AU  - Sudhakar K Chaubey
AU  - Sameh Shenawy
TI  - On pseudo H-symmetric Lorentzian manifolds with applications to relativity
JO  - Filomat
PY  - 2020
SP  - 3287 
VL  - 34
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2010287D/
DO  - 10.2298/FIL2010287D
LA  - en
ID  - 10_2298_FIL2010287D
ER  - 
%0 Journal Article
%A Uday C
%A and De
%A Young Jin Suh
%A Sudhakar K Chaubey
%A Sameh Shenawy
%T On pseudo H-symmetric Lorentzian manifolds with applications to relativity
%J Filomat
%D 2020
%P 3287 
%V 34
%N 10
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2010287D/
%R 10.2298/FIL2010287D
%G en
%F 10_2298_FIL2010287D

Cité par Sources :