电磁现象可以从扩展的爱因斯坦方程推导出来吗？
Are electromagnetic phenomena derivable from extended Einstein equations?
摘要：
描述电荷和电势之间相互作用的一个新项可以添加到爱因斯坦方程的右侧。在所提出的术语中，引入了包含电荷密度的附加张量，类似于包含质量密度的能量-动量张量。(The在这项工作中没有考虑电磁场的贡献。）新方程中的度量分量可能包含电荷和质量贡献。在狭义相对论情况下，由含有狭义相对论电荷密度的新方程组得到了一组四个真空麦克斯韦方程组。最近，叶菲缅科从一个特殊的相对论变换中发现了一个相关的结果。此外，当采用近似的电磁度规时，从所假定的方程可以计算通常的狭义相对论电能和洛伦兹力。在非相对论情形下，得到了通常的含静止电荷密度的麦克斯韦方程组。在静态引力场存在的情况下，应用广义相对论的方法，得到了一组四个麦克斯韦方程组。从这些方程可以推导出普遍接受的各向同性光速。此外，计算的广义麦克斯韦方程组表明，真空介电常数和磁导率在大电荷Q或大质量M的存在下可能不同于单位值。
英文摘要：
A new term describing interactions between charge and potentials may be added to the right hand side of the Einstein equations. In the proposed term an additional tensor has been introduced containing a charge density, analogous to the energy-momentum tensor containing a mass density. (The contribution of the electromagnetic fields has not been considered in this work.) The metric components in the new equations may contain charge and mass contributions. In the special relativistic case a set of four vacuum Maxwell equations is obtained from the new equations containing a special relativistic charge density. A related result was recently found by Jefimenko from a special relativistic transformation. Moreover, from the postulated equations the usual special relativistic electric energy and Lorentz force can be calculated, when the approximated electromagnetic metric is used. In the non-relativistic case the usual Maxwell equations with rest charge density are obtained. In the presence of a static gravitational field a set of four Maxwell equations is obtained applying in the general relativistic case. From these equations the generally accepted isotropic velocity of light can be deduced. In addition, calculated generalized Maxwell equations show that vacuum permittivity and permeability may differ from unity value in the presence of a big charge Q or a big mass M.
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