Abstract
We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity’s rainbow, as well the electrostatic self-force on this particle. The possibility of the solution associated with a charged particle to be altered by modifications in dispersion relations of the space-time is discussed. We show that the self-energy depends on the rainbow functions and that this quantity can either increase or decrease depending on the rainbow function chosen, as compared with analogous result in the framework of general relativity. With respect to the self-force, its dependence with the rainbow functions is also pointed out.
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Acknowledgements
LCNS would like to thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) for partial financial support through the research Project No. 155361/2018-0.
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Santos, L.C.N., Bezerra, V.B. Electrostatic self-interaction of a charged particle in the space-time of a cosmic string in the context of gravity’s rainbow. Gen Relativ Gravit 51, 145 (2019). https://doi.org/10.1007/s10714-019-2633-z
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DOI: https://doi.org/10.1007/s10714-019-2633-z