Geometric algebra techniques for general relativity

DOI10.1016/J.AOP.2003.12.009zbMath1062.83060arXivgr-qc/0311007OpenAlexW2067199374MaRDI QIDQ1827386

Arthur Kosowsky, Matthew R. Francis

Publication date: 6 August 2004

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0311007

zbMATH Keywords

Clifford algebrassolution techniquesgenral relativity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Geometric algebra and information geometry for quantum computational software ⋮ Geometric algebra and star products on the phase space ⋮ MULTIVECTOR AND EXTENSOR FIELDS ON SMOOTH MANIFOLDS ⋮ A geometric algebra perspective on quantum computational gates and universality in quantum computing ⋮ The construction of spinors in geometric algebra

Uses Software

• GA

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993
• Space-time algebra approach to curvature
• The Gravitational Compass
• General Relativity
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