Dynamics of M-Theory Cosmology
Andrew P. Billyard (1), Alan A. Coley (1), James E. Lidsey (2), Ulf S., Nilsson(3) ((1) Dalhousie University, Halifax, Canada, (2) Queen Mary &, Westfield, London, England, (3) University of Waterloo, Waterloo, Canada)
TL;DR
This paper provides a comprehensive analysis of four-dimensional cosmologies from M-theory and type IIA string theory, focusing on the role of form fields and stability of solutions within a dynamical systems framework.
Contribution
It offers the first complete global dynamical analysis of these cosmologies, including the effects of Ramond-Ramond fields and spatial curvature.
Findings
The past-attracting solution corresponds to eleven-dimensional flat space.
Form fields are negligible asymptotically but influence intermediate dynamics.
Spatial curvature destabilizes the initial flat space solution.
Abstract
A complete global analysis of spatially-flat, four-dimensional cosmologies derived from the type IIA string and M-theory effective actions is presented. A non--trivial Ramond-Ramond sector is included. The governing equations are written as a dynamical system. Asymptotically, the form fields are dynamically negligible, but play a crucial role in determining the possible intermediate behaviour of the solutions (i.e. the nature of the equilibrium points). The only past-attracting solution (source in the system) may be interpreted in the eleven-dimensional setting in terms of flat space. This source is unstable to the introduction of spatial curvature.
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