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arXiv · 2001.10633

Conformally invariant proper time with general non-metricity

Adria Delhom·Iarley P. Lobo·Gonzalo J. Olmo·Carlos Romero
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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.

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Adria Delhom, Iarley P. Lobo, Gonzalo J. Olmo, Carlos Romero. 2020-05-13. Conformally invariant proper time with general non-metricity. https://doi.org/10.1140/epjc%2Fs10052-020-7974-y

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