Scalar field cosmology via non-local integrals of motion

[摘要] In re-parametrization invariant systems, such as mini-superspace Lagrangians, the existence of constraints can lead to the emergence of additional non-local integrals of motion defined in phase space. In the case of a FLRW flat/non-flat space-time minimally coupled to an arbitrary scalar field, we manage to use such conserved quantities to completely integrate the system of equations of motion. This is achieved without constraining the potential in any way. Thus, obtaining the most general solution that encompasses all possible cosmological scenarios which can be based on the existence of a scalar field.

[发布机构] Instituto de Ciencias Fisicas y Matematicas, Universidad Austral de Chile, Valdivia, Chile^1

[效力级别] 数学

[关键词] Conserved quantity;General solutions;Integrals of motion;Invariant systems;Parametrizations;Scalar field cosmology;Scalar fields;System of equations