The minimal Einstein-aether vector field is the Hodge dual of a 3-form gauge field, making the two theories equivalent and showing that divergence-free aether fields are physically trivial.
The Einstein-Maxwell-aether-axion theory: Dynamo-optical anomaly in the electromagnetic response
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abstract
We consider a pp-wave symmetric model in the framework of the Einstein-Maxwell-aether-axion theory. Exact solutions to the equations of axion electrodynamics are obtained for the model, in which pseudoscalar, electric and magnetic fields were constant before the arrival of a gravitational pp-wave. We show that dynamo-optical interactions, i.e. couplings of the electromagnetic field to a dynamic unit vector field, attributed to the velocity of a cosmic substratum (aether, vacuum, dark fluid...), provide the response of axionically active electrodynamic system to display anomalous behavior.
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gr-qc 1years
2025 1verdicts
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Hodge Dual Gauge Symmetry in Minimal Einstein-Aether Theory
The minimal Einstein-aether vector field is the Hodge dual of a 3-form gauge field, making the two theories equivalent and showing that divergence-free aether fields are physically trivial.