Connections and dynamical trajectories in generalised Newton-Cartan gravity. II. An ambient perspective
| dc.contributor.author | Bekaert, X. | |
| dc.contributor.author | Morand, K. | |
| dc.date.accessioned | 2019-11-14T18:55:40Z | |
| dc.date.available | 2019-11-14T18:55:40Z | |
| dc.date.issued | 2018-07 | |
| dc.description | Indexación: Scopus. | es |
| dc.description | We are grateful to Claude Barrabès for useful exchanges about null hypersurfaces. K.M. thanks the Institut des Hautes Études Scientifiques (IHÉS, Bures-sur-Yvette) for hospitality where part of this work was completed. The work of K.M. is supported by the Chilean Fondecyt Postdoc Project No. 3160325. | |
| dc.description.abstract | Connections compatible with degenerate metric structures are known to possess peculiar features: on the one hand, the compatibility conditions involve restrictions on the torsion; on the other hand, torsionfree compatible connections are not unique, the arbitrariness being encoded in a tensor field whose type depends on the metric structure. Nonrelativistic structures typically fall under this scheme, the paradigmatic example being a contravariant degenerate metric whose kernel is spanned by a one-form. Torsionfree compatible (i.e., Galilean) connections are characterised by the gift of a two-form (the force field). Whenever the two-form is closed, the connection is said Newtonian. Such a nonrelativistic spacetime is known to admit an ambient description as the orbit space of a gravitational wave with parallel rays. The leaves of the null foliation are endowed with a nonrelativistic structure dual to the Newtonian one, dubbed Carrollian spacetime. We propose a generalisation of this unifying framework by introducing a new non-Lorentzian ambient metric structure of which we study the geometry. We characterise the space of (torsional) connections preserving such a metric structure which is shown to project to (respectively, embed) the most general class of (torsional) Galilean (respectively, Carrollian) connections. © 2018 Author(s). | es |
| dc.description.uri | https://aip.scitation.org/doi/pdf/10.1063/1.5030328?class=pdf | |
| dc.identifier.citation | Journal of Mathematical Physics, 59(7), art. no. 072503 | es |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.other | DOI: 10.1063/1.5030328 | |
| dc.identifier.uri | http://repositorio.unab.cl/xmlui/handle/ria/10643 | |
| dc.language.iso | en | es |
| dc.publisher | American Institute of Physics Inc. | es |
| dc.title | Connections and dynamical trajectories in generalised Newton-Cartan gravity. II. An ambient perspective | es |
| dc.type | Artículo | es |
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