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• W3100333068 abstract "We provide a formal definition of p-brane Newton–Cartan (pNC) geometry and establish some foundational results. Our approach is the same followed in the literature for foundations of Newton–Cartan gravity. Our results provide control of aspects of pNC geometry that are otherwise unclear when using the usual gauge language of nonrelativistic theories of gravity. In particular, we obtain a set of necessary and sufficient conditions that a pNC structure must satisfy in order to admit torsion-free, compatible affine connections and determine the space formed by the latter. This is summarized in Theorem 3.1. Since pNC structures interpolate between Leibnizian structures for p = 0 and Lorentzian structures for p = d − 1 (with d being the dimension of the spacetime manifold), the present work also constitutes a generalization of results of Newton–Cartan and (pseudo-)Riemannian geometry." @default.
• W3100333068 created "2020-11-23" @default.
• W3100333068 creator A5037077398 @default.
• W3100333068 date "2019-11-01" @default.
• W3100333068 modified "2023-09-26" @default.
• W3100333068 title "<i>p</i>-brane Newton–Cartan geometry" @default.
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• W3100333068 doi "https://doi.org/10.1063/1.5126184" @default.
• W3100333068 hasPublicationYear "2019" @default.
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