Torsional dark energy in quadratic gauge gravity

Abstract

The Covariant Canonical Gauge theory of Gravity (CCGG) is a gauge field formulation of gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of Einstein's theory of general relativity by terms at least quadratic in the Riemann-Cartan tensor. This paper investigates the implications of metric compatible CCGG on cosmological scales. For a totally anti-symmetric torsion tensor we derive the resulting equations of motion in a Friedmann-Lemaître-Robertson-Walker (FLRW) Universe. In the limit of a vanishing quadratic Riemann-Cartan term, the arising modifications of the Friedmann equations are shown to be equivalent to spatial curvature. Furthermore, the modified Friedmann equations are investigated in detail in the early and late times of the Universe's history. It is demonstrated that in addition to the standard $\Lambda$CDM behaviour of the scale factor, there exist novel time dependencies, emerging due to the presence of torsion and the quadratic Riemann-Cartan term. Finally, at late times, we present how the accelerated expansion of the Universe can be understood as a geometric effect of spacetime through torsion, rendering the introduction of a cosmological constant redundant. In such a scenario it is possible to compute an expected value for the parameters of the postulated gravitational Hamiltonian/Lagrangian and to provide a lower bound on the vacuum energy of matter.

arXiv comment11 pages, 3 figures; updated to published version

References in corpus (29)

• The galileon as a local modification of gravity
• Covariant Galileon
• Early Dark Energy Can Resolve The Hubble Tension
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• Generalization of the Proca Action
• Cosmic Acceleration from Abelian Symmetry Breaking
• Derivative self-interactions for a massive vector field
• Graduated dark energy: Observational hints of a spontaneous sign switch in the cosmological constant
• Generalized Proca action for an Abelian vector field
• Friedmann-like universes with torsion
• Cosmological Hyperfluids, Torsion and Non-metricity
• Cosmological Constraints on a Power Law Universe
• Covariant Hamiltonian Field Theory
• Linear Coasting in Cosmology and SNe Ia
• Cosmological Tests for a Linear Coasting Cosmology
• An exposition on Friedmann Cosmology with Negative Energy Densities
• Canonical Transformation Path to Gauge Theories of Gravity
• A discussion on the most general torsion-gravity with electrodynamics for Dirac spinor matter fields
• The dark side of the torsion: Dark Energy from propagating torsion
• Quadratic curvature theories formulated as Covariant Canonical Gauge theories of Gravity
• Vacuum Energy Density Measured from Cosmological Data
• Cosmic Acceleration with Torsion and Non-metricity in Friedmann-like Universes
• Dark energy and inflation invoked in CCGG by locally contorted space-time
• Covariant canonical gauge theory of gravitation for fermions
• Canonical transformation path to gauge theories of gravity II --- Spacetime coupling of spin-0 and spin-1 particle fields
• Covariant Canonical Gauge Gravitation and Cosmology
• Low-Redshift Constraints on Covariant Canonical Gauge Theory of Gravity
• Identity for scalar-valued functions of tensors and its applications to energy-momentum tensors in classical field theories and gravity
• Inflation and Linear Expansion in the Radiation Dominated era in Jordan-Brans-Dicke Cosmology

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• ${\Lambda }_{\mathrm{s}}$CDM cosmology from a type-II minimally modified gravity
• Revisiting CPL with sign-switching density: To cross or not to cross the NECB
• Toward Singularity Theorems with Torsion
• On CCGG, the De Donder-Weyl Hamiltonian formulation of canonical gauge gravity
• Nonlinear Matter Power Spectrum from relativistic $N$-body Simulations: ${\Lambda }_{\mathrm{s}}$CDM versus $\Lambda$CDM
• Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
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