We present a solution of the linearized field equations of Einstein General Relativity that can be interpreted as a model of a de Broglie quantum object formed by a wave and a particle. In the absence of external fields the particle travels at a constant velocity with its energy density localized in a spacetime region of the order of its Compton wavelength. The de Broglie wave packet, moving with the particle, acquires a clear geometric meaning being interpreted as a special kind of gravitational wave.
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