Focusing of world-lines in Weyl gravity
General Relativity and Quantum Cosmology
2016-02-03 v1
Abstract
We study the evolution of time-like congruences in the vacuum solutions of Weyl conformal theory of gravity. Using the Raycaudhuri equation, we show that for positive values of the coeffcient of the linear term in the solution and in the absence of the cosmological constant, the incoming rays converge. The evolution of the congruence for negative values is investigated for different values of the parameters. The behavior of the congruence under conformal transformations is also studied.
Keywords
Cite
@article{arxiv.1602.01043,
title = {Focusing of world-lines in Weyl gravity},
author = {Morteza Mohseni and Mohsen Fathi},
journal= {arXiv preprint arXiv:1602.01043},
year = {2016}
}
Comments
3 eps figures