Dark energy and inflation invoked in CCGG by locally contorted space-time

Abstract

The cosmological implications of the Covariant Canonical Gauge Theory of Gravity (CCGG) are investigated. We deduce that, in a metric compatible geometry, the requirement of covariant conservation of matter invokes torsion of space-time. In the Friedman model this leads to a scalar field built from contortion and the metric with the property of dark energy, which transforms the cosmological constant to a time-dependent function. Moreover, the quadratic, scale invariant Riemann-Cartan term in the CCGG Lagrangian endows space-time with kinetic energy, and in the field equations adds a geometrical curvature correction to Einstein gravity. Applying in the Friedman model the standard $\Lambda$CDM parameter set, those equations yield a cosmological field depending just on one additional, dimensionless ``deformation'' parameter of the theory that determines the strength of the quadratic term, viz. the deviation from the Einstein-Hilbert ansatz. Moreover, the apparent curvature of the universe differs from the actual curvature parameter of the metric. The numerical analysis in that parameter space yields three cosmology types: (I) A bounce universe starting off from a finite scale followed by a steady inflation, (II) a singular Big Bang universe undergoing a secondary inflation-deceleration phase, and (III) a solution similar to standard cosmology but with a different temporal profile. The common feature of all scenarios is the graceful exit to the current dark energy era. The value of the deformation parameter can be deduced by comparing theoretical calculations with observations, namely with the SNeIa Hubble diagram and the deceleration parameter. That comparison implies a considerable admixture of scale invariant quadratic gravity to Einstein gravity. This theory also sheds new light on the resolution of the cosmological constant problem and of the Hubble tension.

arXiv commentAligment with sign conventions with no impact on results. 23 pages + 3 appendices, 38 figures, 2 tables

References in corpus (32)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmology and the Fate of Dilatation Symmetry
• Curvature Quintessence
• The Expansion of the Universe is Faster than Expected
• Quintessence without scalar fields
• Energy conditions in modified gravity
• The Trace-Free Einstein Equations and inflation
• Cosmological model insensitivity of local $H_0$ from the Cepheid distance ladder
• Gravitational and Chiral Anomalies in the Running Vacuum Universe and Matter-Antimatter Asymmetry
• Inflationary universe from higher-derivative quantum gravity
• Inflation, quintessence, and the origin of mass
• Hyperfluid - a model of classical matter with hypermomentum
• Covariant Hamiltonian Field Theory
• Cosmological dynamics with propagating Lorentz connection modes of spin zero
• Inflation with a Negative Cosmological Constant
• Big bounce and closed universe from spin and torsion
• Canonical Transformation Path to Gauge Theories of Gravity
• Weyssenhoff fluid dynamics in general relativity using a 1+3 covariant approach
• de Sitter Relativity: a New Road to Quantum Gravity?
• Inflation from fermions with curvature-dependent mass
• Quadratic curvature theories formulated as Covariant Canonical Gauge theories of Gravity
• Gauge Theory of Gravity with de Sitter Symmetry as a Solution to the Cosmological Constant Problem and the Dark Energy Puzzle
• Asymmetry in the reconstructed deceleration parameter
• The Scale Factor Potential Approach to Inflation
• The simplest origin of the big bounce and inflation
• Covariant Canonical Gauge Gravitation and Cosmology
• Canonical transformation path to gauge theories of gravity II --- Spacetime coupling of spin-0 and spin-1 particle fields
• Continuity of the torsionless limit as a selection rule for gravity theories with torsion
• Energy transfer from space-time into matter and a bouncing inflation from Covariant Canonical Gauge theory of Gravity
• The homogeneous and isotropic Weyssenhoff fluid
• Could our Universe have begun with Negative Lambda?
• The picture of our universe: A view from modern cosmology

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• Low-Redshift Constraints on Covariant Canonical Gauge Theory of Gravity
• On the cosmological constant in the deformed Einstein-Cartan gauge gravity in De Donder-Weyl Hamiltonian formulation
• Gauge theory of Gravity based on the correspondence between the $1^{st}$ and the $2^{nd}$ order formalisms
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