204 citations · 1.2k across the 40 of their papers we have counts for
5 papers · 1 filter
A simple property of the Weyl tensor for a shear, vorticity and acceleration-free velocity field
Luca Guido Molinari, Carlo Alberto Mantica
We prove that, in a space-time of dimension n>3 with a velocity field that is shear-free, vorticity-free and acceleration-free, the covariant divergence of the Weyl tensor is zero…
Simple conformally recurrent space-times are conformally recurrent PP-waves
Carlo Alberto Mantica, Luca Guido Molinari
We show that in dimension n>3 the class of simple conformally recurrent space-times coincides with the class of conformally recurrent pp-waves.
Generalized Robertson-Walker space times, a survey
Carlo Alberto Mantica, Luca Guido Molinari
Generalized Robertson-Walker spacetimes extend the notion of Robertson-Walker spacetimes, by allowing for spatial non-homogeneity. A survey is presented, with main focus on Chen's…
On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
Carlo Alberto Mantica, Luca Guido Molinari
We prove theorems about the Ricci and the Weyl tensors on generalized Robertson-Walker space-times of dimension . In particular, we show that the concircular vector introdu…
Weyl compatible tensors
Carlo A. Mantica, Luca G. Molinari
We introduce the new algebraic property of Weyl compatibility for symmetric tensors and vectors. It is strictly related to Riemann compatibility, which generalizes the Codazzi cond…