Conformally invariant proper time with general non-metricity
General Relativity and Quantum Cosmology
2020-05-14 v2
Abstract
We show that the definition of proper time for Weyl-invariant space-times given by Perlick naturally extends to spaces with arbitrary non-metricity. We then discuss the relation between this generalized proper time and the Ehlers-Pirani-Schild definition of time when there is arbitrary non-metricity. Then we show how this generalized proper time suffers from a second clock effect. Assuming that muons are a device to measure this proper time, we constrain the non-metricity tensor on Earth's surface and then elaborate on the feasibility of such assumption.
Cite
@article{arxiv.2001.10633,
title = {Conformally invariant proper time with general non-metricity},
author = {Adria Delhom and Iarley P. Lobo and Gonzalo J. Olmo and Carlos Romero},
journal= {arXiv preprint arXiv:2001.10633},
year = {2020}
}
Comments
12, 2 figures, updated to match published version