Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors
General Relativity and Quantum Cosmology
2019-05-21 v2
Abstract
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 that Twisted manifolds may still be characterized by the existence of such (unique) vector field, with no other constrain. Twisted manifolds generalize RW and GRW spacetimes by admitting a scale function that depends both on time and space. We obtain the Ricci tensor, corresponding to the stress-energy tensor of an imperfect fluid.
Keywords
Cite
@article{arxiv.1612.06715,
title = {Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors},
author = {Carlo Alberto Mantica and Luca Guido Molinari},
journal= {arXiv preprint arXiv:1612.06715},
year = {2019}
}
Comments
6 pages, marginal errors corrected, reference updated