Publication details
Minimal coupling of gravitational and electromagnetic fields in General Relativity
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Proceedings |
| Conference | The Diverse World of PDEs : Geometry and Mathematical Physics |
| MU Faculty or unit | |
| Citation | |
| Web | Odkaz na knihu. |
| Doi | http://dx.doi.org/10.1090/conm/788/15824 |
| Keywords | General relativity; gravitational field; electromagnetic field; minimal coupling |
| Description | In a general relativistic spacetime, we consider the gravitational field and the electromagnetic field, represented by the Levi–Civita connection and the scaled 2–-form. Then, concerning a charged particle with mass and charge (m, q), we obtain a minimal coupling of the gravitational connection with the electromagnetic field, yielding the total (nonlinear) connection. Actually, the standard Lorentz law of motion turns out to be equivalent, in terms of the total connection, to the vanishing total acceleration. Then, chosen a general observer, we rephrase the above total objects in terms of the observed electric and magnetic fields. The above results extend to an Einsteinian general relativistic framework, a minimal coupling of gravitational and electromagnetic fields, which has been found for classical and quantum mechanics in the Galilean framework. |