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

@article{Bakke2020AharonovBohmEF,
  title={Aharonov–Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity},
  author={Knut Bakke and Herondy F. Santana Mota},
  journal={General Relativity and Gravitation},
  year={2020},
  volume={52}
}
  • K. BakkeH. Mota
  • Published 10 August 2020
  • Physics
  • General Relativity and Gravitation
We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov–Bohm effect. By focusing on the confinement of the Dirac field and the scalar field to a hard-wall confining potential in a modified background of the cosmic string spacetime, we examine the effects of the rainbow gravity and the topology of the cosmic string spacetime. Then, we compare each spectrum of energy with the cases where the… 
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References

SHOWING 1-10 OF 110 REFERENCES

Dirac oscillator in the cosmic string spacetime in the context of gravity’s rainbow

Abstract.In this paper we consider the Dirac oscillator in the context of Doubly General Relativity or Gravity’s Rainbow. In order to obtain the energy levels of the Dirac oscillator, we solve the

Casimir effect in the rainbow Einstein's universe

In the present paper we investigate the effects caused by the modification of the dispersion relation obtained by solving the Klein-Gordon equation in the closed Einstein's universe in the context of

Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation

In the interface between general relativity and relativistic quantum mechanics, we analyse rotating effects on the scalar field subject to a hard-wall confining potential. We consider three different

Cosmic string in gravity’s rainbow

In this paper, we study the various cylindrical solutions (cosmic strings) in gravity’s rainbow scenario. In particular, we calculate the gravitational field equations corresponding to

CONFINEMENT OF A DIRAC PARTICLE TO A HARD-WALL CONFINING POTENTIAL INDUCED BY NONINERTIAL EFFECTS

In this contribution, we discuss the influence of noninertial effects on a Dirac particle in the Minkowski spacetime by showing that the geometry of the manifold can play the role of a hard-wall

Global effects due to a chiral cone

Scalar and spinor quantum particles are considered in the background space–time generated by a chiral cosmic string. It is shown that in this chiral conical space–time, the wave functions, the energy

Gravity's Rainbow

. Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to
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