Propagation of quantum particles in Brans-Dicke spacetime. The case of Gamma Ray Bursts
S. Capozziello, G. Lambiase

TL;DR
This paper investigates how quantum scalar particles propagate in Brans-Dicke spacetime, linking high-energy radiation near naked singularities to Gamma Ray Bursts, and deriving the wave function and effective potential.
Contribution
It provides a novel analysis of scalar particle propagation in Brans-Dicke gravity and connects quantum effects near naked singularities to Gamma Ray Burst phenomena.
Findings
Probability of scalar particles near naked singularities calculated
Effective potential for quantum particles derived
High-energy radiation could explain Gamma Ray Burst emissions
Abstract
The propagation of boson particles in a gravitational field described by the Brans-Dicke theory of gravity is analyzed. We derive the wave function of the scalar particles, and the effective potential experienced by the quantum particles considering the role of the varying gravitational coupling. Besides, we calculate the probability to find the scalar particles near the region where a naked singularity is present. The extremely high energy radiated in such a situation could account for the huge emitted power observed in Gamma Ray Bursts.
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