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We explore a scenario of the general relativity determined by the frameworkof the rainbow gravity with the purpose of searching for analogues of theAharonov-Bohm effect. By focusing on the confinement of the Dirac field and thescalar field to a hard-wall confining potential in a modified background of thecosmic string spacetime, we examine the effects of the rainbow gravity and thetopology of the cosmic string spacetime. Then, we compare each spectrum ofenergy with the cases where the rainbow gravity is absent.

Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity