EXPONENTIAL SOLUTIONS OF EULER-LAGRANGE EQUATIONS FOR FIELD OF LINEAR FRAMES IN NONLINEAR MODEL OF BORN-INFELD TYPE

被引：4

作者：

Godlewski, Piotr ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2008年 / 62卷 / 02期

关键词：

field of linear frames; teleparallelism connection; Euler-Lagrange equations; semisimple Lie group; matrix-valued exponential mapping;

D O I：

10.1016/S0034-4877(08)00024-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate a model of the field of linear frames on the product manifold M = R x G, where G is a semisimple Lie group. The model is invariant under the natural action of the group GL(n, R) (n = dim M). It results in a modified Born-Infeld-type nonlinearity of field equations. We find two families of solutions of the Euler-Lagrange equations. The solutions are bases for the Lie algebra of left-invariant vector fields on R x G "deformed" by a GL(n, R)-valued mapping of the exponential form.

引用

页码：167 / 181

页数：15

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