3-D spinors, spin-weighted functions and their applications

zbMath1082.81004MaRDI QIDQ1418012

Gerardo F. Torres del Castillo

Publication date: 6 January 2004

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

zbMATH Keywords

spherical harmonicselectrodynamicsgeneral relativityspecial relativitycylindrical harmonics3-dimensional manifoldsspin-weighted functionstwo-spinor calculus

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Applications of Lie groups to the sciences; explicit representations (22E70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Spinor and twistor methods applied to problems in quantum theory (81R25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)

Related Items (12)

Solutions for the null-surface formulation in \(2+1\) dimensions leading to spacetimes of Petrov types i, II, and D ⋮ Fermion clouds around z = 0 Lifshitz black holes ⋮ Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space ⋮ Mini-twistors and the Cotton double copy ⋮ Asymptotic behavior of massless Dirac waves in Schwarzschild geometry ⋮ Spinor Bishop equations of curves in Euclidean 3-space ⋮ Physical theories in galilean space-time and the origin of Schrödinger-like equations ⋮ Spin weighted spherical wavelets derived from approximate identities ⋮ Spin weighted wavelets on the sphere -- frames ⋮ Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates ⋮ Trkalian fields and Radon transformation ⋮ A Class of General Solutions of the Maxwell Equations in the Kerr Space-Time

This page was built for publication: 3-D spinors, spin-weighted functions and their applications