The Sagnac effect on a scale-dependent rotating BTZ black hole background

Abstract

In this paper we investigate the Sagnac effect by calculating the difference in travel time and phase shift observed for photon beams counter--propagating in a rotating interferometer on a BTZ black hole solution in the context of scale-dependent gravity, which describes the field around a massive static and rotating object in $2+1$ gravity.

6 pages, 5 figures