Einstein-Maxwell and Einstein-Proca theory from a modified gravitational action
| dc.creator | Vollick, Dan N. | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:58:02Z | |
| dc.date.available | 2026-07-07T06:58:02Z | |
| dc.description | A modified gravitational action is considered which involves the quantity $F_{μν}=\partial_μΓ_ν-\partial_νΓ_μ$, where $Γ_μ=Γ^α_{μα}$. Since $Γ_μ$ transforms like a U(1) gauge field under coordinate transformations terms such as $F^{μν}F_{μν}$ are invariant under coordinate transformations. If such a term is added to the usual gravitational action the resulting field equations, obtained from a Palatini variation, are the Einstein-Proca equations. The vector field can be coupled to point charges or to a complex scalar density of weight $ie$, where $e$ is the charge of the field. If this scalar density is taken to be $g^{-ie/2}$ and the overall factor of the scalar density Lagrangian takes on a particular value the resulting field equations are the Einstein-Maxwell equations. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0601016 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0601016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107200 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Einstein-Maxwell and Einstein-Proca theory from a modified gravitational action | |
| dc.type | text |