A modification of Einstein-Schrodinger theory that contains both general relativity and electrodynamics
| dc.creator | Shifflett, J. A. | |
| dc.date | 2008-01-15 | |
| dc.date | 2008-02-08 | |
| dc.date.accessioned | 2026-07-07T11:55:15Z | |
| dc.date.available | 2026-07-07T11:55:15Z | |
| dc.description | We modify the Einstein-Schrodinger theory to include a cosmological constant $Λ_z$ which multiplies the symmetric metric, and we show how the theory can be easily coupled to additional fields. The cosmological constant $Λ_z$ is assumed to be nearly cancelled by Schrodinger's cosmological constant $Λ_b$ which multiplies the nonsymmetric fundamental tensor, such that the total $Λ=Λ_z+Λ_b$ matches measurement. The resulting theory becomes exactly Einstein-Maxwell theory in the limit as $|Λ_z|\to\infty$. For $|Λ_z|\sim 1/(Planck length)^2$ the field equations match the ordinary Einstein and Maxwell equations except for extra terms which are $<10^{-16}$ of the usual terms for worst-case field strengths and rates-of-change accessible to measurement. Additional fields can be included in the Lagrangian, and these fields may couple to the symmetric metric and the electromagnetic vector potential, just as in Einstein-Maxwell theory. The ordinary Lorentz force equation is obtained by taking the divergence of the Einstein equations when sources are included. The Einstein-Infeld-Hoffmann (EIH) equations of motion match the equations of motion for Einstein-Maxwell theory to Newtonian/Coulombian order, which proves the existence of a Lorentz force without requiring sources. This fixes a problem of the original Einstein-Schrodinger theory, which failed to predict a Lorentz force. An exact charged solution matches the Reissner-Nordstrom solution except for additional terms which are $\sim 10^{-66}$ of the usual terms for worst-case radii accessible to measurement. An exact electromagnetic plane-wave solution is identical to its counterpart in Einstein-Maxwell theory. | |
| dc.description | fixed 2 references, accepted by "General Relativity and Gravitation" | |
| dc.identifier | https://arxiv.org/abs/0801.2307 | |
| dc.identifier | http://arxiv.org/abs/0801.2307 | |
| dc.identifier | Gen.Rel.Grav.40:1745-1769,2008 | |
| dc.identifier | doi:10.1007/s10714-007-0572-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205184 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A modification of Einstein-Schrodinger theory that contains both general relativity and electrodynamics | |
| dc.type | text |