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 $$H_\textrm{Gr}$$ H Gr , the model contains terms describing a deformation of an AdS spacetime and a fully anti-sym...

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Main Authors: Johannes Kirsch, David Vasak, Armin van de Venn, Jürgen Struckmeier
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11571-2
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author Johannes Kirsch
David Vasak
Armin van de Venn
Jürgen Struckmeier
author_facet Johannes Kirsch
David Vasak
Armin van de Venn
Jürgen Struckmeier
author_sort Johannes Kirsch
collection DOAJ
description 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 $$H_\textrm{Gr}$$ H 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, $$\Omega _\textrm{g}$$ Ω g and $$\Omega _\textrm{s}$$ Ω s . Given an appropriate choice of these parameters resulting from the analysis of asymptotics, numerical calculations were performed with $$\Omega _\mathrm {\Lambda } = 0$$ Ω Λ = 0 . Values from the Planck Collaboration (Aghanim in Cosmol Parameters 641, 6, 2020) 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.
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spelling doaj.art-34c325e5b5384c758515f6acba6e03122023-07-02T11:24:27ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183511110.1140/epjc/s10052-023-11571-2Torsion driving cosmic expansionJohannes Kirsch0David Vasak1Armin van de Venn2Jürgen Struckmeier3Frankfurt Institute for Advanced StudiesFrankfurt Institute for Advanced StudiesFrankfurt Institute for Advanced StudiesFrankfurt Institute for Advanced StudiesAbstract 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 $$H_\textrm{Gr}$$ H 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, $$\Omega _\textrm{g}$$ Ω g and $$\Omega _\textrm{s}$$ Ω s . Given an appropriate choice of these parameters resulting from the analysis of asymptotics, numerical calculations were performed with $$\Omega _\mathrm {\Lambda } = 0$$ Ω Λ = 0 . Values from the Planck Collaboration (Aghanim in Cosmol Parameters 641, 6, 2020) 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.https://doi.org/10.1140/epjc/s10052-023-11571-2
spellingShingle Johannes Kirsch
David Vasak
Armin van de Venn
Jürgen Struckmeier
Torsion driving cosmic expansion
European Physical Journal C: Particles and Fields
title Torsion driving cosmic expansion
title_full Torsion driving cosmic expansion
title_fullStr Torsion driving cosmic expansion
title_full_unstemmed Torsion driving cosmic expansion
title_short Torsion driving cosmic expansion
title_sort torsion driving cosmic expansion
url https://doi.org/10.1140/epjc/s10052-023-11571-2
work_keys_str_mv AT johanneskirsch torsiondrivingcosmicexpansion
AT davidvasak torsiondrivingcosmicexpansion
AT arminvandevenn torsiondrivingcosmicexpansion
AT jurgenstruckmeier torsiondrivingcosmicexpansion