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

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.

Section 2 omitted, section 3 shortened, minor changes elsewhere, main results and conclusions unchanged; to appear in Classical and Quantum Gravity

References in corpus (1)

• The Non-Relativistic Superparticle in a Curved Background

Cited by in corpus (5)

• Revisiting non-relativistic limits
• Torsional Newton-Cartan Geometry from the Noether Procedure
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit