PT Journal
AU Delhom, A
   Lobo, IP
   Olmo, GJ
   Romero, C
TI Conformally invariant proper time with general non-metricity
SO European Physical Journal C
JI Eur. Phys. J. C
PY 2020
BP 415 - 11pp
VL 80
IS 5
DI 10.1140/epjc/s10052-020-7974-y
LA English
AB 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.
ER