Riemann tensor and Gauss–Bonnet density in metric-affine cosmology

DOI10.1088/1361-6382/ac213azbMath1479.83271arXiv2104.10192OpenAlexW3153342604WikidataQ114096964 ScholiaQ114096964MaRDI QIDQ5164309

Damianos Iosifidis

Publication date: 11 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10192

zbMATH Keywords

torsionnon-Riemannian geometryRiemann tensorGauss-Bonnet termmetric-affine gravitynon-metricitynon-Riemannian cosmology

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Gravitational energy and conservation laws; groups of motions (83C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Determinants and determinant bundles, analytic torsion (58J52) Affine differential geometry (53A15)

Related Items (2)

Metric-Affine Cosmologies: kinematics of Perfect (Ideal) Cosmological Hyperfluids and first integrals ⋮ Cosmological perturbations in Palatini formalism

Cites Work

• The dynamics of metric-affine gravity
• Metric-affine \(f(R)\) theories of gravity
• Hyperfluid -- a model of classical matter with hypermomentum
• Spacetimes with vector distortion: inflation from generalised Weyl geometry
• Torsion/nonmetricity duality in \(f(R)\) gravity
• On the topological character of metric-affine Lovelock Lagrangians in critical dimensions
• Ricci-based gravity theories and their impact on Maxwell and nonlinear electromagnetic models
• Pontryagin, Euler Forms and Chern–Simons Terms in Weyl–Cartan Space
• PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND
• Exactly solvable connections in metric-affine gravity
• Metric-affine f(R)-gravity with torsion: an overview
• Gauss–Bonnet Type Identity in Weyl–Cartan Space
• Homogeneous isotropic models in the metric-affine gauge theory of gravity
• Teleparallel Palatini theories
• Cosmological perturbations in Palatini formalism
• The Perfect Hyperfluid of Metric-Affine Gravity: the foundation
• New models with independent dynamical torsion and nonmetricity fields
• Cosmic acceleration with torsion and non-metricity in Friedmann-like Universes
• Relativistic Cosmology
• Ricci-Calculus

This page was built for publication: Riemann tensor and Gauss–Bonnet density in metric-affine cosmology