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

Author(s)

Santos, L. C. N. ^[1] ; Mota, C. E. ^[2] ; Barros Jr, C. C. ; Castro, L. B. ^{[3, 4]} ; Bezerra, V. B. ^[1]

Affiliation

^[1] Univ Fed Paraiba, Dept Fis, CCEN, CP 5008, BR-58051970 Joao Pessoa, Paraiba - Brazil

^[2] Univ Fed Santa Catarina, Dept Fis, CFM, CP 476, BR-88040900 Florianopolis, SC - Brazil

^[3] Univ Estadual Paulista UNESP, Dept Fis & Quim, Campus Guaratingueta, BR-12516410 Guaratingueta, SP - Brazil

^[4] Univ Fed Maranhao UFMA, Dept Fis, Campus Univ Bacanga, BR-65080805 Sao Luis, Maranhao - Brazil

• Document type: Journal article
• Source: ANNALS OF PHYSICS; v. 421, OCT 2020.
• Web of Science Citations: 0

Abstract

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. (C) 2020 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 18/20577-4 - Studies on fermions and bosons in low dimensions and their applications in graphene and topological insulators
• Grantee: Antonio Soares de Castro
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil