(2+1)-Dimensional Gravity in Weyl Integrable Spacetime
General Relativity and Quantum Cosmology
2015-10-21 v1
Abstract
We investigate (2+1)-dimensional gravity in a Weyl integrable spacetime (WIST). We show that, unlike general relativity, this scalar-tensor theory has a Newtonian limit for any dimension and that in three dimensions the congruence of world lines of particles of a pressureless fluid has a non-vanishing geodesic deviation. We present and discuss a class of static vacuum solutions generated by a circularly symmetric matter distribution that for certain values of the parameter w corresponds to a space-time with a naked singularity at the center of the matter distribution. We interpret all these results as being a direct consequence of the space-time geometry.
Keywords
Cite
@article{arxiv.1503.04186,
title = {(2+1)-Dimensional Gravity in Weyl Integrable Spacetime},
author = {J. E. Madriz Aguilar and C. Romero and J. B. Fonseca-Neto and T. S. Almeida and J. B. Formiga},
journal= {arXiv preprint arXiv:1503.04186},
year = {2015}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1201.1469, arXiv:1101.5333