Conformal invariance, complex structures and the Teukolsky connection

DOI10.1088/1361-6382/aad13bzbMath1409.83120arXiv1805.11600OpenAlexW3103259771WikidataQ129583255 ScholiaQ129583255MaRDI QIDQ3120871

Bernardo Araneda

Publication date: 19 March 2019

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

Full work available at URL: https://arxiv.org/abs/1805.11600

zbMATH Keywords

Killing spinorsmassless fieldscomplex structuresconformal methodslocal twistorsTeukolsky equations

Mathematics Subject Classification ID

Wave equation (35L05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (5)

Double field theory, twistors, and integrability in 4-manifolds ⋮ Two-dimensional twistor manifolds and Teukolsky operators ⋮ Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime ⋮ On the geometry of Petrov type II spacetimes ⋮ Parallel spinors, pp-waves, and gravitational perturbations

Cites Work

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• Calculus and invariants on almost complex manifolds, including projective and conformal geometry
• Twistor connection and normal conformal Cartan connection
• Hermitian and Kählerian geometry in relativity
• Conformal Methods in General Relativity
• Symmetry operators and decoupled equations for linear fields on black hole spacetimes
• Killing–Yano tensor and supersymmetry of the self-dual Plebański–Demiański solution
• Teukolsky Master Equation: de Rham Wave Equation for Gravitational and Electromagnetic Fields in Vacuum
• A space-time calculus based on pairs of null directions
• Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes
• An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
• Zero rest-mass fields including gravitation: asymptotic behaviour
• Linearized gravity and gauge conditions
• Complexified conformal almost-Hermitian structures and the conformally invariant eth and thorn operators

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