Metric-Affine Myrzakulov Gravity Theories

Abstract

In this paper we review the Myrzakulov Gravity models (MG-N, with $\mathrm{N}=\mathrm{I},\mathrm{II},\dots ,\mathrm{VIII}$) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications.

45 pages

References in corpus (35)

• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• $f(T,\mathcal{T})$ gravity and cosmology
• Modified Gravity and Cosmology: An Update by the CANTATA Network
• Energy Conditions in $f(Q)$ gravity
• FRW Cosmology in F(R,T) gravity
• Testing $F(Q)$ gravity with redshift space distortions
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Spherically symmetric configuration in $f(Q)$ gravity
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• $f(Q,T)$ gravity models with observational constraints
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• FRW Cosmology in $f(Q,T)$ Gravity
• Power-law cosmology in Weyl-type $f(Q,T)$ gravity
• Metric-Affine Gravity and Cosmology/Aspects of Torsion and non-Metricity in Gravity Theories
• Energy Conditions in Non-minimally Coupled $f(R,T)$ Gravity
• Observational constraints and some toy models in $f(Q)$ gravity with bulk viscous fluid
• Bulk viscous cosmological model in $f(R,T)$ theory of gravity
• A Cyclic Universe With Varying Cosmological Constant in $f(R,T)$ gravity
• The Cosmology of Quadratic Torsionful Gravity
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• A Complete Cosmological Scenario in Teleparallel Gravity
• LRS Bianchi I model with bulk viscosity in f(R,T) gravity
• Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
• Open problems in gravitational physics
• Metric-Affine Version of Myrzakulov $F(R,T,Q,\mathcal{T})$ Gravity and Cosmological Applications

Cited by in corpus (3)

• Dynamical system analysis of Myrzakulov gravity
• Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity
• Cosmology of Metric-Affine $R+\beta R^2$ Gravity with Pure Shear Hypermomentum