Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry

Rabin Banerjee; Arpita Mitra; Pradip Mukherjee

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arXiv · 1407.3617

Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry

Rabin Banerjee·Arpita Mitra·Pradip Mukherjee

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Abstract

Newtonian gravity was formulated as a geometrodynamic theory as far back in 1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though there are several approaches of realizing the algebraic structure of the Newton Cartan geometry from a contraction of the relativistic results, a dynamical (field theoretic) realization of it is lacking. In this paper we present such a realization from the localisation of the Galilean Symmetry of nonrelativistic matter field theories.

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Rabin Banerjee, Arpita Mitra, Pradip Mukherjee. 2014-11-24. Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry. https://arxiv.org/abs/1407.3617

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