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VOL. 18 | 2017 Local and Non-Local Conservation Laws for Constrained Lagrangians and Applications to Cosmology
Nikolaos Dimakis

Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka

Abstract

We study the existence of conservation laws in constrained systems described by quadratic Lagrangians; the type of which is encountered in mini-superspace cosmology. As is well known, variational symmetries lead to conserved quantities that can be used in the classical and quantum integration of a system. Additionally - and due to the parametrization invariance of such Lagrangians - conditional symmetries defined on phase space can lead to non-local integrals of motion. The latter may be of importance in various cosmological configurations. As an example we present the case of scalar field cosmology with an arbitrary potential.

Information

Published: 1 January 2017
First available in Project Euclid: 14 January 2017

zbMATH: 1377.70041
MathSciNet: MR3616918

Digital Object Identifier: 10.7546/giq-18-2017-138-149

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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