Demystification of Non-relativistic Theories in Curved Background
arXiv:2008.05727 · doi:10.1142/S0218271820430154
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.
arXiv comment5 pages, Essay written for the Gravity Research Foundation 2020 Awards for Essays on Gravitation (Honorable mention) To appear in IJMPD (special issue)
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