The dynamics of metric-affine gravity

DOI10.1016/J.AOP.2011.02.008zbMath1223.83044arXiv1008.0171OpenAlexW3123623284WikidataQ62580628 ScholiaQ62580628MaRDI QIDQ635033

Stefano Liberati, Vincenzo Vitagliano, Thomas P. Sotiriou

Publication date: 19 August 2011

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0171

zbMATH Keywords

torsion\(f(\mathcal R)\) gravitymetric-affine gravitynon-metricity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (17)

Conformal transformations in metric-affine gravity and ghosts ⋮ Metric-affine gravity and the geometric nature of matter ⋮ Geometric dark matter ⋮ The full quadratic metric-affine gravity (including parity odd terms): exact solutions for the affine-connection ⋮ Weyl-invariant extension of the metric-affine gravity ⋮ Metric-Affine Cosmologies: kinematics of Perfect (Ideal) Cosmological Hyperfluids and first integrals ⋮ \(R+S^2\) theories of gravity without big-bang singularity ⋮ Conceptual and technical challenges of quantum gravity ⋮ Quantum linear gravity in de Sitter universe on Gupta-Bleuler vacuum state ⋮ Linear transformations on affine-connections ⋮ Parity violating metric-affine gravity theories ⋮ Projective and amplified symmetries in metric–affine 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 ⋮ Filtering out the cosmological constant in the Palatini formalism of modified gravity ⋮ Exactly solvable connections in metric-affine gravity ⋮ Symmergent gravity, seesawic new physics, and their experimental signatures

Cites Work

• Curvature scalar instability in \(f(R)\) gravity
• \(f(R)\) theories
• A new Lagrangian for the vacuum Einstein equations and its tetrad form
• Metric-affine variational principles in general relativity. I. Riemannian space-time
• The nearly Newtonian regime in nonlinear theories of gravity
• <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
• THEORY OF GRAVITATION THEORIES: A NO-PROGRESS REPORT
• Second- and fourth-order invariants on curved manifolds with torsion
• The universality of vacuum Einstein equations with cosmological constant
• The conformal frame freedom in theories of gravitation
• General relativity with spin and torsion: Foundations and prospects
• f ( R ) gravity and scalar–tensor theory
• General Relativity

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