Linear transformations on affine-connections

DOI10.1088/1361-6382/AB778DzbMath1479.83056arXiv1911.04535OpenAlexW3100986080MaRDI QIDQ5161958

Damianos Iosifidis

Publication date: 1 November 2021

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

Full work available at URL: https://arxiv.org/abs/1911.04535

zbMATH Keywords

manifoldnon-Riemannian geometryaffine connectionmetric-affine gravityaffine connection transformations

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Linear and affine connections (53B05)

Related Items (6)

Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity ⋮ Projective transformations in metric-affine and Weylian geometries ⋮ Generalized Ashtekar variables for Palatini \(f(\mathcal{R})\) models ⋮ (3+1)-Formulation for gravity with torsion and non-metricity: The stress-energy-momentum equation ⋮ Parity violating metric-affine gravity theories ⋮ (3 + 1)-formulation for gravity with torsion and non-metricity: II. The hypermomentum equation

Cites Work

• The dynamics of metric-affine gravity
• On a model of an unconstrained hyperfluid
• 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 (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism
• METRIC–AFFINE GAUGE THEORY OF GRAVITY II: EXACT SOLUTIONS
• Exactly solvable connections in metric-affine gravity
• The trivial role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields
• Teleparallel Palatini theories

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