Variational formulation of Eisenhart's unified theory

Details Variational formulation of Eisenhart's unified theory Variational formulation of Eisenhart's unified theory

2008-03-31

arxiv.org/abs/0803.4366v2

Int.J.Mod.Phys.A24 (2009) 3975-3984

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages; published version

Scientific paper

10.1142/S0217751X09044735

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.

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