Biquaternionic Proca-type generalization of gravity

Abstract

In this paper, a biquaternionic model is introduced so as to formulate the generalization of gravity both covering the Proca-type and gravitomagnetic monopole terms. Similarly, the gravitational wave equation including the terms mentioned above is obtained in compact and elegant manner. Moreover, the most generalized form of homogeneous Klein-Gordon equation has been developed for the particle carrying gravitational masses.