A note on extended Lorentzian recurrent manifolds
Differential Geometry
2016-08-30 v1
Abstract
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 flat, and it is a space of quasi-constant curvature. We also show that an extended recurrent Lorentzian manifold, with time-like associated covector, is a perfect fluid Robertson-Walker space-time. We obtain the equation of state; in n = 4 and if the scalar curvature is zero, a model for incoherent radiation is obtained.
Keywords
Cite
@article{arxiv.1608.07587,
title = {A note on extended Lorentzian recurrent manifolds},
author = {Carlo Alberto Mantica and Luca Guido Molinari},
journal= {arXiv preprint arXiv:1608.07587},
year = {2016}
}
Comments
Dedicated to the memory of Dr. Mileva Prvanovic'