Status of non-Riemannian cosmology

Abstract

We provide a brief chronological guide to the literature on non-Riemannian cosmological models. Developments in this field are traced back to the early seventies and are given in table form.

arXiv comment10 pages, 1 figure, to appear in the proceedings of the 6th UCLA Symposium on ''Sources and Detection of Dark Matter and Dark Energy in the Universe'', 4 references added, minor typos fixed

References in corpus (15)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Metric-affine gauge theory of gravity II. Exact solutions
• Repulsive gravity in the very early Universe
• On the inflationary solutions in higher-derivative gravity with dilaton field
• Spin-driven inflation
• A cosmological model in Weyl-Cartan spacetime
• Dark Matter Gravitational Interactions
• Fermion Helicity Flip Induced by Torsion Field
• Matter with dilaton charge in Weyl-Cartan spacetime and evolution of the Universe
• A cosmological model in Weyl-Cartan spacetime: II. Magnitude-redshift relation
• Testing non-standard cosmological models with supernovae
• On dilaton solutions of de Sitter inflation and primordial spin-torsion density fluctuations
• Matching torsion Lambda - term with observations
• Effects of a torsion field on Big Bang nucleosynthesis
• Flat cosmological models with massive scalar field in gauge theories of gravity

Cited by in corpus (58)

• The matter power spectrum in f(R) gravity
• Beyond Einstein-Cartan gravity: Quadratic torsion and curvature invariants with even and odd parity including all boundary terms
• Constraining Torsion with Gravity Probe B
• Dark spinors with torsion in cosmology
• Poincare gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part
• Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Addressing $H_0$ tension with emergent dark radiation in unitary gravity
• Charged Wormhole Solutions in Einstein-Cartan gravity
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• Poincaré gauge gravity: An overview
• New models with independent dynamical torsion and nonmetricity fields
• Propagation equations for deformable test bodies with microstructure in extended theories of gravity
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• de Sitter Thick Brane Solution in Weyl Geometry
• Plane waves in metric-affine gravity
• Prospects of detecting spacetime torsion
• Non-minimally coupled scalar field cosmology with torsion
• Exact solutions in bouncing cosmology
• Nonminimal couplings, gravitational waves, and torsion in Horndeski's theory
• Rotating Black Holes in Metric-Affine Gravity
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• New black hole solutions with a dynamical traceless nonmetricity tensor in Metric-Affine Gravity
• Torsion in string-inspired cosmologies and the universe dark sector
• The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
• The Cosmology of Quadratic Torsionful Gravity
• Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
• On the torsion effects of a relativistic spin fluid in early cosmology
• Unimodular Einstein--Cartan gravity: Dynamics and conservation laws
• Non-Riemannian Cosmology: The role of Shear Hypermomentum
• Cosmology in Poincare gauge gravity with a pseudoscalar torsion
• Weak Gravitational Lensing in Fourth Order Gravity
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Conformal Teleparallel Theories and Weyl Geometry
• Mapping Poincaré gauge cosmology to Horndeski theory for emergent dark energy
• Einstein-Proca theory from the Einstein-Cartan formulation
• Some cosmological models coming from gravitational theories having torsional degrees of freedom
• Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Gravitational waves in metric-affine gravity theory
• On the cosmological effects of the Weyssenhoff spinning fluid in the Einstein-Cartan framework
• Friedmann-like universes with non-metricity
• Conserved and non-conserved Noether currents from the quantum effective action
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Torsion Discovery Potential and Its Discrimination at CERN LHC
• Dirac equation in non-Riemannian geometries
• Geometric multipliers and partial teleparallelism in Poincaré gauge theory
• Quantum torsion with non-zero standard deviation: non-perturbative approach for cosmology
• Localization and mass spectra of various matter fields on Weyl thin brane
• Entanglement production in Einstein-Cartan theory
• Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion
• Modified Einstein-Cartan Gravity and its Implications for Cosmology
• General Coordinate Transformations as the Origins of Dark Energy
• General Poincaré Gauge Theory Cosmology
• Metric-affine cosmological models and the inverse problem of the calculus of variations. Part II: Variational bootstrapping of the $\Lambda$CDM model
• Geometric formulation of $k$-essence and late-time acceleration