Gauge theory gravity with geometric calculus

DOI10.1007/s10701-005-5828-yzbMath1097.83025OpenAlexW2008819593MaRDI QIDQ816154

David Hestenes

Publication date: 20 February 2006

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-005-5828-y

zbMATH Keywords

geometric calculusgeometric algebragauge theory of gravity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (9)

The genesis of geometric algebra: a personal retrospective ⋮ Classical field theories from Hamiltonian constraint: local symmetries and static gauge fields ⋮ Spacetime geometry with geometric calculus ⋮ Static energetics in gravity ⋮ An ontology of nature with local causality, parallel lives, and many relative worlds ⋮ Blade products and angles between subspaces ⋮ Spacetime algebra as a powerful tool for electromagnetism ⋮ Tutorial on geometric calculus ⋮ Energy-momentum complex in general relativity and gauge theory

Cites Work

• New foundations for classical mechanics
• The design of linear algebra and geometry
• Spinor approch to gravitational motion and precession
• Light cones inside the Schwarzschild radius
• Lie groups as spin groups
• Effects of spin-torsion in gauge theory gravity
• Gravity, gauge theories and geometric algebra
• General relativity with spin and torsion: Foundations and prospects
• The Large Scale Structure of Space-Time

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