A compact biquaternionic formulation of massive field equations in gravi-electromagnetism

Abstract

In this paper, after presenting the biquaternion formalism, a new formulation is proposed for the massive gravi-electromagnetism with monopole terms. By combining the generalized field equations in electromagnetism with the Maxwell-type field equations in gravity, a compact expression for gravi-electromagnetism has been derived. The gravi-electromagnetic wave equation including Proca-type generalization and monopole terms is obtained in compact and elegant manner. Similarly, the most generalized form of Klein-Gordon equation has been developed for the particle carrying simultaneously both electromagnetic charges and gravitational masses.