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


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.


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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