paper

Unification of Inflation and Dark Energy from Spontaneous Breaking of Scale Invariance

arXiv:1407.6281

Abstract

We propose a new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the spacetime manifold. For the matter we choose appropriate scalar field potentials of exponential form so that the full gravity-matter system is invariant under global Weyl-scale symmetry. Solution of the pertinent equations of motion produce two dimensionful integration constants which spontaneously break global Weyl-scale invariance. In the resulting effective Einstein-frame gravity-matter system we obtain an effective potential for the scalar matter field which has an interesting cosmological application, namely, it allows for a unified description of both an early universe inflation and present day dark energy.

v.1 LaTeX, 6 pages; v.2 reference added, typo corrected; v.3 significant upgrade - 11 pages, new section about canonical Hamiltonian treatment added, extended discussion and conclusions, additional citations; v.4 minor improvement in Sect.3, to appear in Proc. of VIII-th Math. Physics Meeting, B. Dragovich et.al. (eds), Belgrade Inst. Phys. Press (2015)

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