Self-dual conformal gravity

DOI10.1007/s00220-014-2046-5zbMath1295.53080arXiv1304.7772OpenAlexW2077659646MaRDI QIDQ398749

Maciej Dunajski, Paul Tod

Publication date: 15 August 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7772

zbMATH Keywords

connectionprojective structuresBach tensor\(\beta\)-surfacesconformally Ricci-flatparallel sections

Mathematics Subject Classification ID

General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (8)

Conformal geodesics on gravitational instantons ⋮ Classification of complex and real vacuum spaces of the type [N ⊗ [N]] ⋮ Bach-flat isotropic gradient Ricci solitons ⋮ On the ghost problem of conformal gravity ⋮ Two-sided conformally recurrent self-dual spaces ⋮ Twistor theory at fifty: from contour integrals to twistor strings ⋮ Killing symmetries in $\mathcal {H}$H-spaces with Λ ⋮ Enhanced Euclidean supersymmetry, 11D supergravity and \(\mathrm{SU}(\infty)\) Toda equation

Cites Work

• Unnamed Item
• Unnamed Item
• Twistor geometry of a pair of second order ODEs
• \(SU(2)\) solutions to self-duality equations in eight dimensions
• The twistor connection and gauge invariance principle
• Conformal Einstein spaces
• Counter-examples to the generalized positive action conjecture
• Nonlinear gravitons and curved twistor theory
• The hidden symmetries of multi-centre metrics
• Thomas's structure bundle for conformal, projective and related structures
• Metrisability of two-dimensional projective structures
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Anti-self-dual conformal structures with null Killing vectors from projective structures
• Obstructions to conformally Einstein metrics in \(n\) dimensions
• Not conformally Einstein metrics in conformal gravity
• Einstein supergravity amplitudes from twistor-string theory
• Einstein metrics and hyperbolic monopoles
• Four–dimensional metrics conformal to Kähler
• Minitwistor spaces and Einstein-Weyl spaces
• Thickenings and gauge fields
• Conformal gravity, the Einstein equations and spaces of complex null geodesics
• Anti-self-dual four–manifolds with a parallel real spinor
• Killing symmetries in $\mathcal {H}$H-spaces with Λ
• PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS
• On self-dual gauge fields
• Torsion-free path geometries and integrable second order ODE systems

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