Torsion driving cosmic expansion

Abstract

We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational De Donder-Weyl Hamiltonian $H_{\mathrm{Gr}}$, the model contains terms describing a deformation of an AdS spacetime and a fully anti-symmetric torsion in addition to Einstein's theory. The resulting extension of the Einstein-Cartan theory depends on two initially unknown constants, ${\Omega }_{\mathrm{g}}$ and ${\Omega }_{\mathrm{s}}$. Given an appropriate choice of these parameters resulting from the analysis of asymptotics, numerical calculations were performed with ${\Omega }_{\mathrm{\Lambda }}=0$. Values from the Planck Collaboration were used for all other required cosmological parameters. In this way, it is shown that torsion can explain phenomena commonly attributed to dark energy, and thus can replace Einstein's cosmological constant.

arXiv comment26 pages, 3 figures

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Cited by in corpus (6)

• Toward Singularity Theorems with Torsion
• Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
• On CCGG, the De Donder-Weyl Hamiltonian formulation of canonical gauge gravity
• On measuring the Quantum Universe
• Cosmology in the De Donder-Weyl Formulation of Einstein-Cartan Gravity
• Torsion-Driven Nonlinearity in Spinless Quantum Mechanics