Emerging Universe from Scale Invariance

Abstract

We consider a scale invariant model which includes a $R^2$ term in action and show that a stable "emerging universe" scenario is possible. The model belongs to the general class of theories, where an integration measure independent of the metric is introduced. To implement scale invariance (S.I.), a dilaton field is introduced. The integration of the equations of motion associated with the new measure gives rise to the spontaneous symmetry breaking (S.S.B) of S.I. After S.S.B. of S.I. in the model with the $R^2$ term (and first order formalism applied), it is found that a non trivial potential for the dilaton is generated. The dynamics of the scalar field becomes non linear and these non linearities are instrumental in the stability of some of the emerging universe solutions, which exists for a parameter range of the theory.

21 pages, 4 figures. Accepted for publication in JCAP

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• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Unified Dark Energy-Dark Matter model with Inverse Quintessence
• Superstrings with the Galileon Measure
• A thermodynamic characterization of future singularities?
• Curvaton reheating in a Scale Invariant Two Measures Theory
• Instant preheating in a scale invariant two measures theory
• Emergent Universe by Tunneling in a Jordan-Brans-Dicke Theory
• Classically and Quantum stable Emergent Universe from Conservation Laws
• Einstein's Field Equations as a Fold Bifurcation
• Emergent universe: tensor perturbations within the CSL framework
• Emergent universe revisited through the CSL theory
• A Born-Infeld Scalar and a Dynamical Violation of the Scale Invariance from the Modified Measure Action