Quantum dynamics of scalar particles in the space–time of a cosmic string in the context of gravity’s rainbow

We analyze the dynamics of scalar particles in gravity’s rainbow considering the space–time of a cosmic string in this modified gravity. Thus, we solve the Klein–Gordon equation for two types of potential in which two possible rainbow functions are selected. In all cases studied we obtain exact solu...

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Bibliographic Details
Published inAnnals of physics Vol. 421; p. 168276
Main Authors Santos, L.C.N., Mota, C.E., Barros, C.C., Castro, L.B., Bezerra, V.B.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2020
Subjects
Cosmic string background
Klein–Gordon equation
Modified gravity
Modified gravity
Klein–Gordon equation
Cosmic string background
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ISSN0003-4916
1096-035X
1096-035X
DOI10.1016/j.aop.2020.168276

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Summary:We analyze the dynamics of scalar particles in gravity’s rainbow considering the space–time of a cosmic string in this modified gravity. Thus, we solve the Klein–Gordon equation for two types of potential in which two possible rainbow functions are selected. In all cases studied we obtain exact solutions for the wave equation, derive the energy spectrum, analyze it in detail and discuss the dependence of the results with the choice of the rainbow functions.
ISSN:0003-4916
1096-035X
1096-035X
DOI:10.1016/j.aop.2020.168276