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The propagation of boson particles in a gravitational field described by theBrans-Dicke theory of gravity is analyzed. We derive the wave function of thescalar particles, and the effective potential experienced by the quantumparticles considering the role of the varying gravitational coupling. Besides,we calculate the probability to find the scalar particles near the region wherea naked singularity is present. The extremely high energy radiated in such asituation could account for the huge emitted power observed in Gamma RayBursts.

Propagation of quantum particles in Brans-Dicke spacetime. The case of Gamma Ray Bursts