Relativistic Phenomena in Rotating Systems
Summary
Rotating systems lie at the intersection of special and general relativity, giving rise to a suite of counter-intuitive effects that challenge our understanding of space, time and motion. In non-inertial (rotating) frames, synchronisation of clocks becomes path-dependent and observers detect phase shifts in light circulating in opposite directions. This so-called Sagnac effect underpins modern ring-laser gyroscopes and inertial navigation. In the general relativistic regime, the rotation of massive bodies drags the surrounding spacetime, an effect known as frame-dragging, which has been measured around Earth and near compact astrophysical objects. Rotating black holes exhibit the Kerr metric, in which event horizons and ergospheres produce unique trajectories for particles and light. Gravitational analogues of centrifugal and Coriolis forces emerge naturally in these metrics and can be interpreted as real forces rather than mere artefacts of coordinate choice. Such phenomena are of global significance, from calibrating satellite-based timekeeping and navigation platforms to probing the structure of jets in active galactic nuclei.
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Relativistic Phenomena in Rotating Systems publication trend
The graph below shows the total number of articles in relativistic phenomena in rotating systems across all publications each year (not limited to Nature Index journals).
Technical terms
Sagnac effect: Phase shift arising when light travels in opposite directions around a rotating loop, due to differing travel times.
Frame-dragging: Gravitational phenomenon whereby a rotating mass twists spacetime, causing nearby inertial frames to precess.
Null geodesic: Trajectory in spacetime followed by light, defined by a zero spacetime interval under the metric.
Non-inertial frame: Reference frame undergoing acceleration or rotation, in which fictitious or pseudo-forces appear.
Kerr metric: Solution of Einstein’s field equations describing the spacetime geometry around a rotating uncharged mass.
References
- On the general relativistic framework of the Sagnac effect. European Physical Journal C (2019).
- A quest for the origin of the Sagnac effect. European Physical Journal C (2022).
- Real centrifugal forces in relativistic rotating spacetimes: a simple introduction. European Journal of Physics (2023).
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