Exact Lense-Thirring-type, C-metric-type, and Hartle-Thorne-type stationary vacuum solutions are constructed in the NLO and NNLO small-c expansion of GR, revealing a richer sector than magnetic Carroll gravity.
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Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
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Stationary solutions in the small-$c$ expansion of GR
Exact Lense-Thirring-type, C-metric-type, and Hartle-Thorne-type stationary vacuum solutions are constructed in the NLO and NNLO small-c expansion of GR, revealing a richer sector than magnetic Carroll gravity.
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Carroll fermions, expansions and the lightcone
Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.