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Gravitoelectromagnetism; field equation; Maxwell–Proca equation; monopole; space-time algebra; Clifford algebra.

The Maxwell–Proca-like field equations of gravitolectromagnetism are formulated using space-time algebra (STA). The gravitational wave equation with massive gravitons and gravitomagnetic monopoles has been derived in terms of this algebra. Using space-time algebra, the most generalized form of gravitoelectromagnetic Klein–Gordon equation has been obtained. Finally, the analogy in formulation between massive gravitational theory and electromagnetism has been discussed.

Süleyman Demir¹

1. Department of Physics, Science Faculty, Anadolu University, 26470 Eskişehir, Turkey

Manuscript received

23 March 2012

Manuscript revised

10 October 2012

Accepted

16 November 2012