Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-03-31
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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