dorsal/arxiv
View SchemaAn assessment of Evans' unified field theory I
| Authors | Friedrich W. Hehl |
|---|---|
| Categories | |
| ArXiv ID | physics/0703116 |
| URL | https://arxiv.org/abs/physics/0703116 |
| DOI | 10.1007/s10701-007-9190-0 |
| Journal | Found.Phys.38:7-37,2008 |
Abstract
Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. This geometry can be characterized by an orthonormal coframe theta and a (metric compatible) Lorentz connection Gamma. These two potentials yield the field strengths torsion T and curvature R. Evans tried to infuse electromagnetic properties into this geometrical framework by putting the coframe theta to be proportional to four extended electromagnetic potentials A; these are assumed to encompass the conventional Maxwellian potential in a suitable limit. The viable Einstein-Cartan(-Sciama-Kibble) theory of gravity was adopted by Evans to describe the gravitational sector of his theory. Including also the results of an accompanying paper by Obukhov and the author, we show that Evans' ansatz for electromagnetism is untenable beyond repair both from a geometrical as well as from a physical point of view. As a consequence, his unified theory is obsolete.
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"abstract": "Evans developed a classical unified field theory of gravitation and\nelectromagnetism on the background of a spacetime obeying a Riemann-Cartan\ngeometry. This geometry can be characterized by an orthonormal coframe theta\nand a (metric compatible) Lorentz connection Gamma. These two potentials yield\nthe field strengths torsion T and curvature R. Evans tried to infuse\nelectromagnetic properties into this geometrical framework by putting the\ncoframe theta to be proportional to four extended electromagnetic potentials A;\nthese are assumed to encompass the conventional Maxwellian potential in a\nsuitable limit. The viable Einstein-Cartan(-Sciama-Kibble) theory of gravity\nwas adopted by Evans to describe the gravitational sector of his theory.\nIncluding also the results of an accompanying paper by Obukhov and the author,\nwe show that Evans\u0027 ansatz for electromagnetism is untenable beyond repair both\nfrom a geometrical as well as from a physical point of view. As a consequence,\nhis unified theory is obsolete.",
"arxiv_id": "physics/0703116",
"authors": [
"Friedrich W. Hehl"
],
"categories": [
"physics.class-ph",
"gr-qc",
"physics.gen-ph"
],
"doi": "10.1007/s10701-007-9190-0",
"journal_ref": "Found.Phys.38:7-37,2008",
"title": "An assessment of Evans\u0027 unified field theory I",
"url": "https://arxiv.org/abs/physics/0703116"
},
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