Unique Carrollian manifolds emerging from Einstein spacetimes
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Classical and Quantum Gravity |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1088/1361-6382/adbb4e |
| Doi | http://dx.doi.org/10.1088/1361-6382/adbb4e |
| Keywords | null hypersurfaces; Einstein spacetimes; Carrollian geometry; asymptotically flat spacetimes; vacuum spacetimes |
| Description | We explicitly determine all shear-free null hypersurfaces embedded in an Einstein spacetime, including vacuum asymptotically flat spacetimes. We characterize these hypersurfaces as oriented 3-dimensional manifolds where each is equipped with a coframe basis, a structure group and a connection. Such manifolds are known as null hypersurface structures (NHSs). The coframe and connection one-forms for an NHS appear as solutions to the projection of the Cartan structure equations onto the null hypersurface. We then show that each NHS corresponds to a Carrollian structure equipped with a unique pair of Ehresmann connection and affine connection. |
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