Accelerating Cosmologies and a Phase Transition in M-Theory

Abstract

M-theory compactifies on a seven-dimensional time-dependent hyperbolic or flat space to a four-dimensional FLRW cosmology undergoing a period of accelerated expansion in Einstein conformal frame. The strong energy condition is violated by the scalar fields produced in the compactification, as is necessary to evade the no-go theorem for time-independent compactifications. The four-form field strength of eleven-dimensional supergravity smoothly switches on during the period of accelerated expansion in hyperbolic compactifications, whereas in flat compactifications, the three-form potential smoothly changes its sign. For small acceleration times, this behaviour is like a phase transition of the three-form potential, during which the cosmological scale factor approximately doubles.

10 pages, 4 figures, REVTeX4, some references added

References in corpus (3)

• Supergravity description of field theories on curved manifolds and a no go theorem
• Intersection Rules for S-Branes
• Radion Stabilization in Compact Hyperbolic Extra Dimensions

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• Primordial perturbations from inflation with a hyperbolic field-space
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• Inflation from Superstring/M-Theory Compactification with Higher Order Corrections II -- Case of Quartic Weyl Terms --
• Star Models with Dark Energy
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• Transient Quintessence from Group Manifold Reductions or how all roads lead to Rome
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• Inflationary Cosmologies from Compactification?
• Regular S-Brane Backgrounds
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• String spectra near some null cosmological singularities
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