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Superspace and global stability in general relativity

Accepted version
Peer-reviewed

Type

Conference Object

Change log

Authors

Gurzadyan, AV 
Kocharyan, AA 

Abstract

A framework is developed enabling the global analysis of the stability of cosmological models using the local geometric characteristics of the infinite-dimensional superspace, i.e. using the generalised Jacobi equation reformulated for pseudo-Riemannian manifolds. We give a direct formalism for dynamical analysis in the superspace, the requisite equation pertinent for stability analysis of the universe by means of generalized covariant and Fermi derivative is derived. Then, the relevant definitions and formulae are retrieved for cosmological models with a scalar field.

Description

Keywords

Cosmology, superspace, dynamical systems, scalar fields

Journal Title

International Journal of Modern Physics D

Conference Name

Journal ISSN

0218-2718
1793-6594

Volume Title

26

Publisher

World Scientific Pub Co Pte Lt

Rights

All rights reserved