Cosmology of Metric-Affine $R+\beta R^2$ Gravity with Pure Shear Hypermomentum

Abstract

In this paper we study the cosmological aspects of metric-affine $f(R)$ gravity with hyperfluid. The equations of motion of the theory are obtained by varying the action with respect to the metric and the independent connection. Subsequently, considering a Friedmann-Lemaître-Robertson-Walker background, we derive the modified Friedmann equations in the presence of a perfect cosmological hyperfluid. Especially, we focus on the particular case in which $f(R)=R+\beta R^2$, considering purely shear hypermomentum and finding exact solutions in the weak coupling limit.

arXiv comment26 pages

References in corpus (37)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• f(R) Gravity and scalar-tensor theory
• Metric-affine f(R) theories of gravity
• The gravity lagrangian according to solar system experiments
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Observable traces of non-metricity: new constraints on metric-affine gravity
• A New Class of Ghost and Tachyon Free Metric Affine Gravities
• f(R) Gravity with Torsion: The Metric-Affine Approach
• Spacetimes with vector distortion: Inflation from generalised Weyl geometry
• Metric-affine gauge theory of gravity II. Exact solutions
• The dynamics of metric-affine gravity
• Metric-affine Gravity and Inflation
• Scale transformations in metric-affine geometry
• Hyperfluid - a model of classical matter with hypermomentum
• Metric-Affine Gravity as an Effective Field Theory
• Metric-affine Geometries With Spherical Symmetry
• Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?
• Conservation laws in gravity: A unified framework
• Observational constraints on Myrzakulov gravity
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• The Raychaudhuri equation in spacetimes with torsion and non-metricity
• Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
• Cosmological Perturbations in Palatini Formalism
• Einstein manifolds with torsion and nonmetricity
• Minimal $k$-inflation in light of the conformal metric-affine geometry
• Cosmology of Quadratic Metric-Affine Gravity
• Dynamical system analysis of Myrzakulov gravity
• A Note on Energy-Momentum Conservation in Palatini Formulation of L(R) Gravity
• On a model of an unconstrained hyperfluid
• Non-Riemannian Cosmology: The role of Shear Hypermomentum
• Perfect hypermomentum fluid: variational theory and equations of motion
• Vector stability in quadratic metric-affine theories
• Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity
• Riemann Tensor and Gauss-Bonnet density in Metric-Affine Cosmology
• (3+1)-Formulation for Gravity with Torsion and Non-Metricity II: The Hypermomentum Equation
• Metric-Affine Myrzakulov Gravity Theories

Cited by in corpus (4)

• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• General Einstein-Cartan quadratic gravity with derivative couplings
• Algebraic classification of the gravitational field in general metric-affine geometries
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models