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The \(SO(3,1) \times U(1)\)-gauge covariant Dirac equation in relativistic magnetars

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Abstract

Using a perturbative method, we investigate solutions of the Dirac equations for a charged massive spinor field in the background of a magnetar, both in the interior solution and outside the star. A special attention is given to cases where the variables can be separated and the wave function is expressed in terms of the Heun’s general or confluent functions.

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Acknowledgements

This work was supported by a grant of Ministery of Research and Innovation, CNCS - UEFISCDI, Project Number PN-III-P4-ID-PCE-2016-0131, within PNCDI III.

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Authors and Affiliations

  1. Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Bd. Carol I, 700506, Iasi, Romania

    Marina-Aura Dariescu & Ciprian Dariescu

  2. Research Department, Faculty of Physics, “Alexandru Ioan Cuza” University, 11 Bd. Carol I, 700506, Iasi, Romania

    Cristian Stelea

Authors
  1. Marina-Aura Dariescu
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  2. Ciprian Dariescu
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  3. Cristian Stelea
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Correspondence to Cristian Stelea.

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Dariescu, MA., Dariescu, C. & Stelea, C. The \(SO(3,1) \times U(1)\)-gauge covariant Dirac equation in relativistic magnetars. Gen Relativ Gravit 50, 126 (2018). https://doi.org/10.1007/s10714-018-2449-2

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