Diffeomorphism invariance and local Lorentz invariance

被引：3

作者：

da Rocha, Roldao ^{[1
]}

Rodrigues, Waldyr A., Jr. ^{[2
]}

机构：

[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP, Brazil

[2] Univ Estadual Campinas, Inst Matemat Estatist & Comp Cient, Dept Matemat Aplicada, BR-13083859 Cidade Univ Zeferino Vaz, Brazil

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2008年 / 18卷 / 3-4期

关键词：

Lorentz invariance; Clifford bundles; Dirac-Hestenes equations; Riemann-Cartan spacetimes;

D O I：

10.1007/s00006-008-0109-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that diffeomorphism invariance of the Maxwell and the Dirac-Hestenes equations implies the equivalence among different universe models such that if one has a linear connection with non-mill torsion and/or curvature the others have also. On the other hand local Lorentz invariance implies the surprising equivalence among different universe models that have in general different G-connections with different curvature and torsion tensors.

引用

页码：945 / 961

页数：17

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