Summer School and Conference on Modern Mathematical Physics

24 - 31 August 2014, Belgrade, Serbia

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Eduardo Guendelman

Unification of inflation and dark energy from spontaneous breaking of scale invariance

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 scale symmetry. Solution of the pertinent equations of motion produce two dimensionful integration constants which spontaneously break 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.