Interaction Energy of a Charged Medium and its EM Field in a Curved Spacetime
 作者： Mayeul Arminjon 论文集英文名称： Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization 来源数据库： Project Euclid DOI： 10.7546/giq-20-2019-88-98 原始语种摘要： In the electrodynamics of special relativity (SR) or general relativity (GR), the energy tensors of the charged medium and its EM field add to give the total energy tensor that obeys the dynamical equation without external force. In the investigated scalar theory of gravitation (SET), this assumption leads to charge non-conservation, hence an additional, interaction'' energy tensor $\boldsymbol{T}_\mathrm{inter}$ has to be postulated. The present work aims at constraining this tensor. First we study the independent equations of electrodynamics and their number, beginning with SR and GR. As in SR and GR, the system of electrodynamics of SET is closed in the absence of $\boldsymbol{T}_\mathrm{inter}$. Hence, with $\boldsymbol{T}_\mathrm{inter}$, at least one additional equation must be... provided. This is done by assuming that $\boldsymbol{T}_\mathrm{inter}$ is Lorentz-invariant in the situation of SR. We derive equations allowing one in principle to compute $\boldsymbol{T}_\mathrm{inter}$ in a given gravitational plus EM field. $\boldsymbol{T}_\mathrm{inter}$ may contribute to the dark matter.

• Energy　能量
• inter
• general　普遍的
• special　特别的
• beginning　开头
• total　总和
• tensor　张量
• relativity　相对性
• system
• their　他们的