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arXiv · 1902.02585

Non-smooth gravity and parity violation

Iberê Kuntz
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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.

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Iberê Kuntz. 2019-02-07. Non-smooth gravity and parity violation. https://doi.org/10.1007/s10701-019-00240-8

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