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Santos, Luis C. N.; Mota, Clesio E.; Barros, C. C.; Castro, L. B.; Bezerra, V. B.

Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity’s rainbow. (English) Zbl 1448.81328

Ann. Phys. 421, Article ID 168276, 14 p. (2020).
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.

Cited in 5 Documents

MSC:

81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories

Keywords:

cosmic string background; Klein-Gordon equation; modified gravity
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References:

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