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

2014/07/14 by Rabin Banerjee, Banerjee, Rabin, Arpita Mitra +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1407.3617

openalex publication_date 2014/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Newtonian gravity was formulated as a geometrodynamic theory as far back in\n1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though\nthere are several approaches of realizing the algebraic structure of the Newton\nCartan geometry from a contraction of the relativistic results, a dynamical\n(field theoretic) realization of it is lacking. In this paper we present such a\nrealization from the localisation of the Galilean Symmetry of nonrelativistic\nmatter field theories.\n

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