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arXiv · 1608.07587

A note on extended Lorentzian recurrent manifolds

Carlo Alberto Mantica·Luca Guido Molinari
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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.

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Carlo Alberto Mantica, Luca Guido Molinari. 2016-08-26. A note on extended Lorentzian recurrent manifolds. https://arxiv.org/abs/1608.07587

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