Gravitomagnetism and Relative Observer Clock Effects

TL;DR

This paper explores the gravitomagnetic and Sagnac effects in rotating spacetimes, analyzing how different observer families perceive these phenomena and clarifying their relationships.

Contribution

It introduces a new perspective on observer-dependent effects, linking extremely accelerated observers to clock effects in stationary axisymmetric spacetimes.

Findings

Relationship between gravitomagnetic and Sagnac effects clarified

Special observer families influence the perception of clock effects

Complementary properties of two-clock and single-clock effects identified

Abstract

The gravitomagnetic clock effect and the Sagnac effect for circularly rotating orbits in stationary axisymmetric spacetimes are studied from a relative observer point of view, clarifying their relationships and the roles played by special observer families. In particular Semer\'ak's recent characterization of extremely accelerated observers in terms of the two-clock clock effect is shown to be complemented by a similarly special property of the single-clock clock effect.