2015/05/03 by Zafar Ahsan, Ahsan, Zafar, Musavvir Ali +1
Mathematics · #53C50 #53C80 #83C05 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C50 #msc:53C80 #msc:83C05
paper · pdf · doi:10.48550/arxiv.1506.03476
pages 1-15
arxiv created 2016/02/28 · arxiv updated 2016/03/01
In the differential geometry of certain F-structures, the role of W-curvature tensor is very well known. A detailed study of this tensor has been made on the spacetime of general relativity. The spacetimes satisfying Einstein field equations with vanishing W-tensor have been considered and the existence of Killing and conformal Killing vector fields has been established. Perfect fluid spacetimes with vanishing W-tensor have also been considered. The divergence of W-tensor is studied in detail and it is seen, among other results, that a perfect fluid spacetime with conserved W-tensor represents either an Einstein space or a Friedmann-Robertson-Walker cosmological model.