A cosmological model in Weyl-Cartan spacetime: I. Field equations and solutions

Abstract

In this first article of a series on alternative cosmological models we present an extended version of a cosmological model in Weyl-Cartan spacetime. The new model can be viewed as a generalization of a model developed earlier jointly with Tresguerres. Within this model the non-Riemannian quantities, i.e. torsion $T^{\alpha }$ and nonmetricity $Q_{\alpha \beta }$, are proportional to the Weyl 1-form. The hypermomentum ${\Delta }_{\alpha \beta }$ depends on our ansatz for the nonmetricity and vice versa. We derive the explicit form of the field equations for different cases and provide solutions for a broad class of parameters. We demonstrate that it is possible to construct models in which the non-Riemannian quantities die out with time. We show how our model fits into the more general framework of metric-affine gravity (MAG).

22 pages, 2 figures, uses IOP preprint style

References in corpus (1)

• A cosmological model in Weyl-Cartan spacetime

Cited by in corpus (19)

• $f(Q,T)$ gravity
• Coupling matter in modified $Q$-gravity
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
• A Higgs Mechanism for Gravity
• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Matter with dilaton charge in Weyl-Cartan spacetime and evolution of the Universe
• Rotating Black Holes in Metric-Affine Gravity
• A cosmological model in Weyl-Cartan spacetime: II. Magnitude-redshift relation
• Complementary constraints from FR IIb radio galaxies and X-ray gas mass fractions in clusters on non-standard cosmological models
• Cosmological Perturbation Theory in Metric-Affine Gravity
• Cosmological implications of the Weyl geometric gravity theory
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Friedmann cosmology with hyperfluids
• Geometrical Origin of the Cosmological Term