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Effect of Magnetic Fields on Equatorial Circular Orbits in Kerr Spacetimes

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Relativity and Gravitation

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 157))

Abstract

In this work we analyze the effects of an external magnetic field on charged particles on equatorial circular orbits in a Kerr spacetime, both in the black hole and the naked singularity cases. Understanding these phenomena is of great importance because equatorial circular orbits are a key ingredient of simple accretion disc models. We focus on two important magnetic field configurations: (a) a uniform magnetic field aligned with the angular momentum and (b) a dipolar magnetic field. We center our attention on the effect of these external fields on the marginally bound and marginally stable equatorial circular orbits because they give information on observable quantities that could be useful to determine whether the central object is a black hole or a naked singularity. Using a perturbative approach we are able to give analytic results and compare (in the black hole case) with previous results.

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References

  1. Dotti, G., Gleiser, R., Ranea-Sandoval, I.: Unstable fields in Kerr spacetimes. Class. Quantum Grav. 29(9), 095017 (2012). doi:10.1088/0264-9381/29/9/095017

    Article  ADS  MathSciNet  Google Scholar 

  2. Stuchlík, Z.: Equatorial circular orbits and the motion of the shell of dust in the field of a rotating naked singularity. Bull. Astron. Inst. Czech. 31, 129 (1980)

    ADS  MATH  Google Scholar 

  3. Iyer, B., Vishveshwara, C., Wiita, P., Goldstein, J.: Accretion onto a Kerr black hole in the presence of a dipole magnetic field. Pramana 25, 135 (1985). doi:10.1007/BF02847652

    Article  ADS  Google Scholar 

  4. Prasanna, A., Vishveshwara, V.: Charged particle motion in an electromagnetic field on Kerr background geometry. Pramana 11, 359 (1978). doi:10.1007/BF02848160

    Article  ADS  Google Scholar 

  5. Wiita, P., Vishveshwara, C., Siah, M., Iyer, B.: Magnetic fields and accretion discs around Kerr black holes. J. Phys. A Math. Gen. 16, 2077 (1983). doi:10.1088/0305-4470/16/9/029

    Article  ADS  Google Scholar 

  6. Ranea-Sandoval, I., Vucetich, H. In preparation

    Google Scholar 

  7. Bičák, J., Dvořák, L.: Stationary electromagnetic fields around black holes. II. General solutions and the fields of some special sources near a Kerr black hole. Gen. Relativ. Gravit. 7, 959 (1976). doi:10.1007/BF00766421

    Article  ADS  Google Scholar 

  8. Moss, I.: Black holes with current loops revisited. Phys. Rev. D 83, 124046 (2011). doi:10.1103/PhysRevD.83.124046

    Article  ADS  Google Scholar 

  9. Petterson, J.: Stationary axisymmetric electromagnetic fields around a rotating black hole. Phys. Rev. D 12, 2218 (1975). doi:10.1103/PhysRevD.12.2218

    Article  ADS  Google Scholar 

  10. Carter, B.: Global structure of the Kerr family of gravitational fields. Phys. Rev. 174, 1559 (1968). doi:10.1103/PhysRev.174.1559

    Article  ADS  MATH  Google Scholar 

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Correspondence to Ignacio F. Ranea-Sandoval .

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Ranea-Sandoval, I.F., Vucetich, H. (2014). Effect of Magnetic Fields on Equatorial Circular Orbits in Kerr Spacetimes. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_61

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