On the cosmological constant in the deformed Einstein–Cartan gauge gravity in De Donder–Weyl Hamiltonian formulation
- A modification of the Einstein–Hilbert theory, the Covariant Canonical Gauge Gravity (CCGG), leads to a cosmological constant that represents the energy of the space–time continuum when deformed from its (A)dS ground state to a flat geometry. CCGG is based on the canonical transformation theory in the De Donder–Weyl (DW) Hamiltonian formulation. That framework modifies the Einstein–Hilbert Lagrangian of the free gravitational field by a quadratic Riemann–Cartan concomitant. The theory predicts a total energy-momentum of the system of space–time and matter to vanish, in line with the conjecture of a “Zero-Energy-Universe” going back to Lorentz (1916) and Levi-Civita (1917). Consequently, a flat geometry can only exist in presence of matter where the bulk vacuum energy of matter, regardless of its value, is eliminated by the vacuum energy of space–time. The observed cosmological constant Λobs is found to be merely a small correction attributable to deviations from a flat geometry and effects of complex dynamical geometry of space–time, namely torsion and possibly also vacuum fluctuations. That quadratic extension of General Relativity, anticipated already in 1918 by Einstein, thus provides a significant and natural contribution to resolving the “cosmological constant problem”.
Author: | David VasakORCiD, Johannes Kirsch, Jürgen StruckmeierORCiDGND, Horst StöckerORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-862954 |
DOI: | https://doi.org/10.1002/asna.20220069 |
ISSN: | 1521-3994 |
ArXiv Id: | http://arxiv.org/abs/2209.00501 |
Parent Title (English): | Astronomische Nachrichten = Astronomical notes |
Publisher: | Wiley-VCH |
Place of publication: | Berlin |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2022/12/13 |
Date of first Publication: | 2022/12/13 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Contributing Corporation: | IWARA (10. : 2022 : Antígua Guatemala; Online) |
Release Date: | 2024/07/20 |
Tag: | De Donder-Weyl Hamiltonian formulation; cosmological constant; covariant canonical gauge theory of gravity; inertia of space–time; quadratic-linear gravity; zero-energy universe |
Volume: | 344 |
Issue: | 1-2, e220069 |
Article Number: | e220069 |
Page Number: | 6 |
HeBIS-PPN: | 520899164 |
Institutes: | Physik / Physik |
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS) | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | ![]() |