Dynamics of M-theory cosmology

Andrew P. Billyard, Alan A. Coley, James E. Lidsey, and Ulf S. Nilsson
Phys. Rev. D 61, 043504 – Published 25 January 2000
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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 behavior 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.

  • Received 16 August 1999

DOI:https://doi.org/10.1103/PhysRevD.61.043504

©2000 American Physical Society

Authors & Affiliations

Andrew P. Billyard

  • Department of Physics, Dalhousie University, Halifax, NS, Canada B3H 3J5

Alan A. Coley

  • Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada B3H 3J5

James E. Lidsey

  • Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield, Mile End Road, London, E1 4NS, United Kingdom

Ulf S. Nilsson

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

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Vol. 61, Iss. 4 — 15 February 2000

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