Exactly solvable connections in metric-affine gravity

DOI10.1088/1361-6382/ab0be2zbMath1476.83126arXiv1812.04031OpenAlexW3099826597WikidataQ128293403 ScholiaQ128293403MaRDI QIDQ3380479

Damianos Iosifidis

Publication date: 28 September 2021

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

Full work available at URL: https://arxiv.org/abs/1812.04031

zbMATH Keywords

torsionnon-Riemannian geometrymodified gravitymetric-affine gravitynon-metricityPalatini gravityaffine-connection

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Linear and affine connections (53B05) Topological geometries on manifolds (51H20)

Related Items (12)

The full quadratic metric-affine gravity (including parity odd terms): exact solutions for the affine-connection ⋮ Metric-Affine Cosmologies: kinematics of Perfect (Ideal) Cosmological Hyperfluids and first integrals ⋮ Non-Riemannian cosmology: The role of shear hypermomentum ⋮ On a torsion/curvature analogue of dual connections and statistical manifolds ⋮ Affine Killing vector fields on homogeneous surfaces with torsion ⋮ Emergent metric and geodesic analysis in cosmological solutions of (torsion-free) polynomial affine gravity ⋮ Linear transformations on affine-connections ⋮ (3+1)-Formulation for gravity with torsion and non-metricity: The stress-energy-momentum equation ⋮ Parity violating metric-affine gravity theories ⋮ Riemann tensor and Gauss–Bonnet density in metric-affine cosmology ⋮ (3 + 1)-formulation for gravity with torsion and non-metricity: II. The hypermomentum equation ⋮ Emergent gravity as the eraser of anomalous gauge boson masses, and QFT-GR concord

Cites Work

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• Metric-affine \(f(R)\) theories of gravity
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• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
• f ( R ) gravity, torsion and non-metricity
• Quantum gravity with torsion and non-metricity
• The universality of vacuum Einstein equations with cosmological constant
• The role of nonmetricity in metric-affine theories of gravity

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