Non-smooth gravity and parity violation
General Relativity and Quantum Cosmology
2019-03-27 v1
Abstract
A conservative extension of general relativity is proposed by alleviating the differentiability of the metric and allowing for non-smooth solutions. We show that these metrics break some symmetries of the Riemann tensor, yielding a new scalar curvature invariant besides the usual Ricci scalar. To first order in the curvature, this adds a new piece of information to the action, containing interesting and unexplored physics. The spectrum of the theory reveals the presence of an additional massless spin-1 field apart from the massless spin-2 graviton. We argue that this new contribution violates P and CP symmetries at leading order in the curvature and we discuss the possibility of observing these effects in existing experiments.
Keywords
Cite
@article{arxiv.1902.02585,
title = {Non-smooth gravity and parity violation},
author = {Iberê Kuntz},
journal= {arXiv preprint arXiv:1902.02585},
year = {2019}
}