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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…
Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors
Carlo Alberto Mantica, Luca Guido Molinari
Robertson-Walker and Generalized Robertson-Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains. We show th…
A note on extended Lorentzian recurrent manifolds
Carlo Alberto Mantica, Luca Guido Molinari
Extended recurrent pseudo-Riemannian manifolds were introduced by Mileva Prvanovic'. We reconsider her work in the light of recent results and show that the manifold is conformally…
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…
Random Antagonistic Matrices
Giovanni M. Cicuta, Luca Guido Molinari
The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries and are real and have opposite signs, or…