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@inproceedings{2304588, author = {Janyška, Josef and Modugno, Marco}, address = {USA}, booktitle = {The Diverse World of PDEs : Geometry and Mathematical Physics}, doi = {http://dx.doi.org/10.1090/conm/788/15824}, edition = {první}, editor = {I. S. Krasil′shchik, A. B. Sossinsky, A. M. Verbovetsky}, keywords = {General relativity; gravitational field; electromagnetic field; minimal coupling}, howpublished = {tištěná verze "print"}, language = {eng}, location = {USA}, isbn = {978-1-4704-7147-7}, pages = {151-164}, publisher = {American Mathematical Society}, title = {Minimal coupling of gravitational and electromagnetic fields in General Relativity}, url = {https://bookstore.ams.org/view?ProductCode=CONM/788}, year = {2023} }
TY - JOUR ID - 2304588 AU - Janyška, Josef - Modugno, Marco PY - 2023 TI - Minimal coupling of gravitational and electromagnetic fields in General Relativity PB - American Mathematical Society CY - USA SN - 9781470471477 KW - General relativity KW - gravitational field KW - electromagnetic field KW - minimal coupling UR - https://bookstore.ams.org/view?ProductCode=CONM/788 N2 - 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. ER -
JANYŠKA, Josef a Marco MODUGNO. Minimal coupling of gravitational and electromagnetic fields in General Relativity. In I. S. Krasil′shchik, A. B. Sossinsky, A. M. Verbovetsky. \textit{The Diverse World of PDEs : Geometry and Mathematical Physics}. první. USA: American Mathematical Society, 2023, s.~151-164. ISBN~978-1-4704-7147-7. Dostupné z: https://dx.doi.org/10.1090/conm/788/15824.
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