Variational formulation of Eisenhart's unified theory
General Relativity and Quantum Cosmology
2009-08-30 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0803.4366,
title = {Variational formulation of Eisenhart's unified theory},
author = {Nikodem J. Poplawski},
journal= {arXiv preprint arXiv:0803.4366},
year = {2009}
}
Comments
7 pages; published version