Einstein's equations and Clifford algebra
type: Item
instance of: scholarly article
title: Einstein's equations and Clifford algebra
zbMATH Open document ID: 0964.83005
DOI: 10.1007/BF03042377
author: Patrick R. Girard
published in: Advances in Applied Clifford Algebras
publication date: 2001-07-17T00:00:00Z
review text: The paper is devoted to an interesting new formulation of Einstein's equations of the general theory of relativity within a Clifford algebra having four generators \(e_0,e_1,e_2,e_3\). This algebra is otherwise isomorphic to a direct product of two quaternion algebras. A multivector calculus is developed within the Clifford algebra which differs from the corresponding complexified algebra used in the standard space-time algebra approach.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 1502068
zbMATH Keywords: Einstein's equations
zbMATH Keywords: Clifford algebra
zbMATH Keywords: quaternionic algebra
reviewed by: Dimitar A. Kolev
MaRDI profile type: Publication
cites work: Clifford algebra to geometric calculus. A unified language for mathematics and physics
cites work: Dirac equation and Clifford algebra
cites work: Q3235004
full work available at URL: https://doi.org/10.1007/bf03042377
OpenAlex ID: W2014430590
description: scientific article; zbMATH DE number 1502068