Notes on conservation laws, equations of motion of matter, and particle fields in Lorentzian and teleparallel de Sitter space-time structures

DOI10.1155/2016/5465263zbMath1357.83003arXiv1505.02935OpenAlexW2963964273WikidataQ59122519 ScholiaQ59122519MaRDI QIDQ504767

Waldyr Alves jun. Rodrigues, Samuel Augusto Wainer

Publication date: 17 January 2017

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

Full work available at URL: https://arxiv.org/abs/1505.02935

zbMATH Keywords

conservation lawsequations of motionLevi-Civita connectionLorentzianClifford bundle formalismteleparallel de Sitter space-time

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Gravitational energy and conservation laws; groups of motions (83C40) Special relativity (83A05) Clifford algebras, spinors (15A66) Equations of motion in general relativity and gravitational theory (83C10)

Related Items

On the motion of a free particle in the de Sitter manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Clifford bundle approach to the wave equation of a spin \(1/2\) fermion in the de Sitter manifold
• De Sitter geodesics: reappraising the notion of motion
• The nature of gravitational field and its legitimate energy-momentum tensor
• Teleparallel gravity. An introduction
• A Clifford bundle approach to the differential geometry of branes
• Killing vector fields, Maxwell equations and Lorentzian spacetimes
• Concept of Lie derivative of spinor fields a geometric motivated approach
• The squares of the Dirac and spin-Dirac operators on a Riemann-Cartan space(time)
• On the mathematical description of quantized fields
• Conservation Laws in General Relativity as the Generators of Coordinate Transformations
• Covariant Conservation Laws in General Relativity
• General Relativity for Mathematicians
• Algebraic and Dirac–Hestenes spinors and spinor fields
• The bundles of algebraic and Dirac–Hestenes spinor fields
• The Maxwell and Navier-Stokes equations that follow from Einstein equation in a spacetime containing a Killing vector field
• The Large Scale Structure of Space-Time
• Spinning test-particles in general relativity. I
• General Relativity
• The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach