The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach

DOI10.1007/978-3-319-27637-3zbMath1345.83002OpenAlexW2491074598WikidataQ56552871 ScholiaQ56552871MaRDI QIDQ5966301

Edmundo Capelas de Oliveira, Waldyr Alves jun. Rodrigues

Publication date: 9 December 2015

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27637-3

zbMATH Keywords

spacetimespinorsbranesDiracMaxwellspace-timeClifford and spin-Clifford bundle formalismDirac and Einstein fieldsKomar currentMajorana and ELKO spinor fields

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) History of mathematics in the 20th century (01A60) Vector and tensor algebra, theory of invariants (15A72) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Spin and Spin({}^c) geometry (53C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66) Differentiable manifolds, foundations (58A05) History of relativity and gravitational theory (83-03) Physics (00A79) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Related Items (11)

Equations of motion and energy-momentum 1-forms for the coupled gravitational, Maxwell and Dirac fields ⋮ On the motion of a free particle in the de Sitter manifold ⋮ The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory ⋮ Symplectic field theories: scalar and spinor representations ⋮ The Poincaré lemma for codifferential, anticoexact forms, and applications to physics ⋮ The nature of gravitational field and its legitimate energy-momentum tensor ⋮ Notes on conservation laws, equations of motion of matter, and particle fields in Lorentzian and teleparallel de Sitter space-time structures ⋮ The squares of the Dirac and spin-Dirac operators on a Riemann-Cartan space(time) ⋮ The effective Lorentzian and teleparallel spacetimes generated by a free electromagnetic field ⋮ Superposition principle and the problem of additivity of the energies and momenta of distinct electromagnetic fields ⋮ Generalization of Dirac conjugation in the superalgebraic theory of spinors

This page was built for publication: The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach