Newtonian gravity and the Bargmann algebra

Andringa, Roel ; Bergshoeff, Eric ; Panda, Sudhakar ; de Roo, Mees (2011) Newtonian gravity and the Bargmann algebra Classical and Quantum Gravity, 28 . Article ID 105011. ISSN 0264-9381

Full text not available from this repository.

Official URL: http://iopscience.iop.org/article/10.1088/0264-938...

Related URL: http://dx.doi.org/10.1088/0264-9381/28/10/105011

Abstract

We show how the Newton–Cartan formulation of Newtonian gravity can be obtained from gauging the Bargmann algebra, i.e. the centrally extended Galilean algebra. In this gauging procedure several curvature constraints are imposed. These convert the spatial (time) translational symmetries of the algebra into spatial (time) general coordinate transformations and make the spin connection gauge fields dependent. In addition we require two independent vielbein postulates for the temporal and spatial directions. In the final step we impose an additional curvature constraint to establish the connection with the (on-shell) Newton–Cartan theory. We discuss a few extensions of our work that are relevant in the context of the AdS–CFT correspondence.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:109425
Deposited On:31 Jan 2018 09:35
Last Modified:31 Jan 2018 09:35

Repository Staff Only: item control page