Gauge theory gravity with geometric calculus
type: Item
instance of: scholarly article
title: Gauge theory gravity with geometric calculus
zbMATH Open document ID: 1097.83025
author: David Hestenes
published in: Foundations of Physics
publication date: 2006-02-20T00:00:00Z
review text: This is the third in a series of articles promoting ``geometric algebra'' elaborated by the same author. After summarizing essential mathematical tools introduced in a preceding paper and extending them to ``geometric calculus'' applicable to differentiable manifolds, the ``gauge theory gravity'' by Lasenby, Doran, and Gull is considered. It is shown that the gauge principles of this theory generate an induced geometry on space-time that is equivalent to Riemannian geometry. In discussing the field equations and the equations of motion in gauge theory gravity and solutions to the field equations, the paper demonstrates that geometric calculus is conceptually and computationally suitable for this gauge theory approach. In particular, it is proved that, due to the displacement gauge principle of this theory, a displacement-gauge-invariant energy-momentum conservation law exists.
reviewed by: Horst-Heino von Borzeszkowski
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 5007727
zbMATH Keywords: geometric algebra
zbMATH Keywords: geometric calculus
zbMATH Keywords: gauge theory of gravity
MaRDI profile type: Publication
full work available at URL: s10701-005-5828-y
OpenAlex ID: W2008819593
cites work: Gravity, gauge theories and geometric algebra
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DOI: 10.1007/S10701-005-5828-Y
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description: scientific article; zbMATH DE number 5007727