Braneworld Dynamics of Inflationary Cosmologies with Exponential Potentials

Abstract

In this work we consider Randall-Sundrum braneworld type scenarios, in which the spacetime is described by a five-dimensional manifold with matter fields confined in a domain wall or three-brane. We present the results of a systematic analysis, using dynamical systems techniques, of the qualitative behaviour of Friedmann-Lemaitre-Robertson-Walker type models, whose matter is described by a scalar field with an exponential potential. We construct the state spaces for these models and discuss how their structure changes with respect to the general-relativistic case, in particular, what new critical points appear and their nature and the occurrence of bifurcation.

15 pages, 9 figures, RevTex 4. Submitted to Physical Review D

References in corpus (1)

• Evolution of Cosmological Models in the Brane-world Scenario

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