Scale invariance, unimodular gravity and dark energy

Abstract

We demonstrate that the combination of the ideas of unimodular gravity, scale invariance, and the existence of an exactly massless dilaton leads to the evolution of the universe supported by present observations: inflation in the past, followed by the radiation and matter dominated stages and accelerated expansion at present. All mass scales in this type of theories come from one and the same source.

9 pages, 1 figure, replaced with journal version

References in corpus (27)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Large N Field Theories, String Theory and Gravity
• Cosmology and the Fate of Dilatation Symmetry
• The Standard Model Higgs boson as the inflaton
• Hybrid Inflation
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• Cosmology with a Primordial Scaling Field
• The $\nu$MSM, Dark Matter and Neutrino Masses
• Inflation scenario via the Standard Model Higgs boson and LHC
• The $\nu$MSM, Inflation, and Dark Matter
• Conformal Symmetry and the Standard Model
• How to find neutral leptons of the nuMSM?
• Quantum scale invariance, cosmological constant and hierarchy problem
• The nuMSM, leptonic asymmetries, and properties of singlet fermions
• Thawing quintessence with a nearly flat potential
• Transverse Fierz-Pauli symmetry
• Where to find a dark matter sterile neutrino?
• Can one tell Einstein's unimodular theory from Einstein's general relativity?
• Search for the light dark matter with an X-ray spectrometer
• Is there a new physics between electroweak and Planck scales?
• Searching for dark matter sterile neutrino in laboratory
• nuMSM--Predictions for Neutrinoless Double Beta Decay
• Naturalness of exponential cosmon potentials and the cosmological constant problem
• Inflaton mass in the nuMSM inflation
• Quantum scale invariance on the lattice
• Violating general covariance

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• Nonperturbative Quantum Gravity
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• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
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• The Renormalization Group flow of unimodular f(R) gravity
• Palatini inflation in models with an $R^2$ term
• Higgs-Dilaton Cosmology: an effective field theory approach
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• Selected topics in scalar-tensor theories and beyond
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• Scale-Independent Inflation and Hierarchy Generation
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• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
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• Standard Model with spontaneously broken quantum scale invariance
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• Conformal symmetry: towards the link between the Fermi and the Planck scales
• Cosmon inflation
• Scale and Weyl Invariance in Einstein-Cartan Gravity
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• The constraints of post-quantum classical gravity
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• Quantum scale-invariant models as effective field theories
• Local conformal symmetry in non-Riemannian geometry and the origin of physical scales
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• Aspects of Infrared Modifications of Gravity
• Conformal invariance from non-conformal gravity
• Fundamental Scale Invariance
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• Two fluid anisotropic dark energy models in a scale invariant theory
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• Fifth forces and broken scale symmetries in the Jordan frame
• Unimodular Constraint on global scale Invariance
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• Higgs-Dilaton Inflation in Einstein-Cartan gravity
• Unimodular Cosmological Space-times