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.

arXiv comment45 pages

References in corpus (76)

• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• f(T) teleparallel gravity and cosmology
• Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
• Cosmology in $f(Q)$ geometry
• General second order scalar-tensor theory, self tuning, and the Fab Four
• $f(Q,T)$ gravity
• Accelerating universe from F(T) gravity
• Observational constraints of $f(Q)$ gravity
• The covariant formulation of f(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
• Scalar-Tensor Gravity and Quintessence
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Teleparallel Palatini theories
• 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
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• 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
• Symmetric teleparallel general relativity
• 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
• Noether symmetries in Symmetric Teleparallel Cosmology
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• General Teleparallel Quadratic Gravity
• Bouncing cosmology in $f(R,T)$ gravity
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• The dynamics of metric-affine gravity
• Bouncing cosmological solutions from f(R,T) gravity
• Cosmological Hyperfluids, Torsion and Non-metricity
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• Magnetized strange quark model with Big Rip singularity in $f(R,T)$ gravity
• Torsion/non-metricity duality in f(R) gravity
• FRW Cosmology in $f(Q,T)$ Gravity
• Observational constraints on Myrzakulov gravity
• Cosmological applications of Myrzakulov gravity
• FLRW cosmological models with quark and strange quark matters in f(R,T) gravity
• Cosmological Analysis of Scalar Field Models in f(R,T) Gravity
• Power-law cosmology in Weyl-type $f(Q,T)$ gravity
• Metric-affine $f(R)$-gravity with torsion: an overview
• Parity Violating Metric-Affine Gravity Theories
• 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
• Einstein manifolds with torsion and nonmetricity
• Cosmological consequences and statefinder diagnosis of a non-interacting generalized Chaplygin gas in $f(R,T)$ gravity
• Statefinder diagnostic for modified Chaplygin gas cosmology in f(R,T) gravity with particle creation
• The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
• 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
• Schrödinger connection with selfdual nonmetricity vector in 2+1 dimensions
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• A stable flat universe with variable Cosmological constant in f(R,T) Gravity
• A Complete Cosmological Scenario in Teleparallel Gravity
• Cosmic Acceleration with Torsion and Non-metricity in Friedmann-like Universes
• An action principle for the Einstein-Weyl equations
• 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 Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
• 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