Behaviour of a spin-1/2 particle in Schwarzschild embedded in an electromagnetic universe - INSPIRE

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Behaviour of a spin-1/2 particle in Schwarzschild embedded in an electromagnetic universe

Ahmad Al-Badawi

Feb 5, 2017

17 pages

Published in:

Gen.Rel.Grav. 50 (2018) 16

Published: Feb, 2018

e-Print:

1702.01380 [gr-qc]

DOI:

10.1007/s10714-017-2338-0

View in:

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Abstract: (arXiv)

The Dirac equation is considered in Schwarzschild black hole immersed in an electromagnetic universe with charge coupling. The equations of the charged spin-1/2 particle is separated into radial and angular equations by adopting the Newman-Penrose formalism. The angular equations obtained are similar to the Schwarzschild geometry. For the radial equations we manage to obtain the one dimensional Schr\"odinger-type wave equations with effective potentials. Due to the presence of electromagnetic field from the surroundings, the interaction with the charged spin-1/2 is considered. Finally, we study the behaviour of the potentials by plotting them as a function of radial distance and expose the effect of the external parameter, charge and the frequency of the particle on them.

Note:

17 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1702.00368

References(27)

Figures(0)

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