电磁场和引力场的场方程
Field equations of electromagnetic and gravitational fields
摘要：
研究了电磁场和引力场共存情况下麦克斯韦方程的有效性。利用四元数代数，牛顿万有引力定律与经典引力场理论中的牛顿万有引力定律是一致的。同时麦克斯韦方程与经典电磁场理论中的麦克斯韦方程是一致的。并利用八元数代数将相关结论推广到电磁场和引力场共存的情形。研究表明，在引力场和电磁场共存的情况下，麦克斯韦方程保持不变，但位移电流的方向不同。
英文摘要：
The paper studies the validity of Maxwell equation in the case for coexistence of electromagnetic field and gravitational field. With the algebra of quaternions, the Newton's law of gravitation is the same as that in classical theory of gravitational field. Meanwhile the Maxwell equation is identical with that in classical theory of electromagnetic field. And the related conclusions can be spread to the case for coexistence of electromagnetic field and gravitational field by the algebra of octonions. The study claims that Maxwell equation keeps unchanged in the case for coexistence of gravitational field and electromagnetic field, except for the direction of displacement current.
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