VARIATIONAL FORMULATION OF EISENHART'S UNIFIED THEORY

被引：0

作者：

Poplawski, Nikodem J. ^{[1
]}

机构：

[1] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 20-21期

关键词：

Unified field theory; metric-affine gravity; EINSTEIN-MAXWELL THEORY; GENERAL-RELATIVITY; FIELD-EQUATIONS; GRAVITATION; ELECTROMAGNETISM; TORSION; ELECTRICITY; PRINCIPLES;

D O I：

10.1142/S0217751X09044735

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Eisenhart's classical unified field theory is based on a non-Riemannian affine connection related to the covariant derivative of the electromagnetic field tensor. The sourceless field equations of this theory arise from vanishing of the torsion trace and the symmetrized Ricci tensor. We formulate Eisenhart's theory from the metric-affine variational principle. In this formulation, a Lagrange multiplier constraining the torsion becomes the source for the Maxwell equations.

引用

页码：3975 / 3984

页数：10

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