Title: Curvature properties of Robinson-Trautman metric,
Abstract: The curvature properties of Robinson-Trautman metric have been investigated.
It is shown that Robinson-Trautman metric admits several kinds of
pseudosymmetric type structures such as Weyl pseudosymmetric, Ricci
pseudosymmetric, pseudosymmetric Weyl conformal curvature tensor etc. Also it
is shown that the difference $R\cdot R - Q(S,R)$ is linearly dependent with
$Q(g,C)$ but the metric is not Ricci generalized pseudosymmetric. Moreover, it
is proved that this metric is Roter type, 2-quasi-Einstein, Ricci tensor is
Riemann compatible and its Weyl conformal curvature 2-forms are recurrent. It
is also shown that the energy momentum tensor of the metric is pseudosymmetric
and the conditions under which such tensor is of Codazzi type and cyclic
parallel have been investigated. Finally, we have made a comparison between the
curvature properties of Robinson-Trautman metric and Som-Raychaudhuri metric.