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The interaction of electricity and magnetism in Einstein–Maxwell theory

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Abstract

I consider stationary axially symmetric solutions of the Einstein–Maxwell equations. These show that, in general, time-independent electric and magnetic fields acting together cause rotational effects in the spacetime. An electric charge placed on the axis of a magnetic dipole induces a region of closed timelike curves.

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References

  1. MacCallum, M.A.H.: J. Phys. A 16, 3853 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  2. MacCallum, M.A.H.: Gen. Rel. Grav. 17, 659 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  3. Miguelote, A.Y., da Silva, M.F.A., Wang, A.Z.: Class. Quant. Grav. 18, 4569 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Datta, B.K., Raychaudhuri, A.K.: J. Math. Phys. 9, 1715 (1968)

    Article  ADS  Google Scholar 

  5. van der Bergh, N., Wils, P.: J. Phys. A 16, 3843 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  6. Islam, J.N.: Proc. R. Soc. A 389, 291 (1983)

    MathSciNet  ADS  Google Scholar 

  7. Perjes, Z.: Acta Physica Academiae Scientiarum Hungaricae 25, 393 (1968)

    Article  Google Scholar 

  8. Martin, A.W., Pritchett, P.L.: J. Math. Phys. 9, 593 (1968)

    Article  MATH  ADS  Google Scholar 

  9. Bonnor, W.B.: Phys. Lett. A 158, 23 (1991)

    Article  ADS  Google Scholar 

  10. Feymann, R.P., Leighton, R.B., Sands, M.: Lectures on Physics II, pp. 27–28. Addison-Wesley, Reading (1964)

  11. Bonnor, W.B.: Class. Quant. Grav. 18, 2853 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. Bonnor, W.B.: Phys. Lett. A 284, 81 (2001)

    Article  CAS  MATH  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, London, UK

    W. B. Bonnor

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  1. W. B. Bonnor
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Correspondence to W. B. Bonnor.

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Bonnor, W.B. The interaction of electricity and magnetism in Einstein–Maxwell theory. Gen Relativ Gravit 38, 1063–1067 (2006). https://doi.org/10.1007/s10714-006-0288-z

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  • DOI: https://doi.org/10.1007/s10714-006-0288-z

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