Demystification of Non-relativistic Theories in Curved Background
General Relativity and Quantum Cosmology
2021-02-03 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2008.05727,
title = {Demystification of Non-relativistic Theories in Curved Background},
author = {Rabin Banerjee},
journal= {arXiv preprint arXiv:2008.05727},
year = {2021}
}
Comments
5 pages, Essay written for the Gravity Research Foundation 2020 Awards for Essays on Gravitation (Honorable mention) To appear in IJMPD (special issue)