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Demystification of Non-relativistic Theories in Curved Background (2008.05727v1)
Published 13 Aug 2020 in gr-qc and hep-th
Abstract: We discuss a new formalism for constructing a non-relativistic (NR) theory in curved background. Named as galilean gauge theory, it is based on gauging the global galilean symmetry. It provides a systematic algorithm for obtaining the covariant curved space time generalisation of any NR theory defined in flat space time. The resulting background is just the Newton- Cartan manifold. The example of NR free particle is explicitly demonstrated.