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Kerr geodesics following the axis of symmetry

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Abstract

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular, we show that there exists a region near the black hole in which the gravitational field is repulsive. We provide possible physical interpretations about the role of this effect in terms of the different conserved parameters. The studies of these geodesics are important not only to understand better the structure of the Kerr spacetime but also to its use as a possible mechanism for the production of extragalactic jets. Our results are obtained with the help of expressing the geodesics of the Kerr spacetime in terms of the Weyl coordinates.

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References

  1. Bic̆ák, J., Semerák, O., Hadrava, P.: Month. Not. R. Astron. Soc. 263, 545 (1993)

    Article  ADS  Google Scholar 

  2. Williams, R.K.: Phys. Rev. D 51, 5387 (1995)

    Article  ADS  Google Scholar 

  3. Williams, R.K.: Astrophys. J. 611, 952 (2004)

    Article  ADS  Google Scholar 

  4. de Felice, F., Carlotto, L.: Astrophys. J. 481, 116 (1997)

    Article  ADS  Google Scholar 

  5. Gariel, J., MacCallum, M.A.H., Marcilhacy, G., Santos, N.O.: Astron. Astrophys. 515, A15 (2010)

    Article  ADS  Google Scholar 

  6. de Freitas Pacheco, J.A., Gariel, J., Marcilhacy, G., Santos, N.O.: Astrophys. J. 759, 125 (2012)

    Article  ADS  Google Scholar 

  7. Gariel, J., Marcilhacy, G., Santos, N.O.: Astrophys. J. 774, 109 (2013)

    Article  ADS  Google Scholar 

  8. Gariel, J., Santos, N.O., Silk, J.: Phys. Rev. D 90, 063505 (2014)

    Article  ADS  Google Scholar 

  9. Schnittman, J.D.: Phys. Rev. Lett. 113, 261102 (2014)

    Article  ADS  Google Scholar 

  10. Asada, K., Nakamura, M.: Astrophys. J. Lett. 745, L28 (2012)

    Article  ADS  Google Scholar 

  11. Li, Y.R., Yuan, Y.F., Wang, J.M., Wang, J.C., Zhang, S.: Astrophys. J. 699, 513 (2009)

    Article  ADS  Google Scholar 

  12. Herrera, L., Santos, N.O.: J. Math. Phys. 39, 3817 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  13. Opher, R., Santos, N.O., Wang, A.: J. Math. Phys. 37, 1982 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  14. Chandrasekhar, S.: The Mathematical Theory of Black Holes. Oxford University Press, Oxford (1983)

    MATH  Google Scholar 

  15. Stephani, H., Kramer, D., MacCallum, M.A.H., Hoenselaers, C., Herlt, E.: Exact Solutions of Einstein’s Field Equations. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (2009)

    MATH  Google Scholar 

  16. Doeleman, S., Fish, V.L., Schenck, D.E., et al.: Science 338, 355 (2012)

    Article  ADS  Google Scholar 

  17. Bañados, M., Silk, J., West, S.M.: Phys. Rev. Lett. 103, 111102 (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported in part by Ciência Sem Fronteiras, No. A045/2013 CAPES, Brazil (A.W.) and NSFC No. 11375153, China (A.W.).

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Authors and Affiliations

  1. UMRS8112 du CNRS, LERMA, UPMC Université Paris 06, Sorbonne Universités, Observatoire de Paris-Meudon 5, Place Jules Janssen, 92195, Meudon Cedex, France

    J. Gariel & N. O. Santos

  2. School of Mathematical Sciences, Queen Mary, University of London, London, E1 4NS, UK

    N. O. Santos

  3. GCAP-CASPER, Department of Physics, Baylor University, Waco, TX, 76798-7316, USA

    Anzhong Wang

  4. Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, Hangzhou, 310032, China

    Anzhong Wang

  5. Departamento de Física Teórica, Instituto de Física, UERJ, Rio de Janeiro, 20550-900, Brazil

    Anzhong Wang

Authors
  1. J. Gariel
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  2. N. O. Santos
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  3. Anzhong Wang
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Corresponding author

Correspondence to Anzhong Wang.

Additional information

This article is dedicated to the memory of our longtime friend and collaborator, Professor William Bowen Bonnor, who passed away on August 17, 2015.

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Gariel, J., Santos, N.O. & Wang, A. Kerr geodesics following the axis of symmetry. Gen Relativ Gravit 48, 66 (2016). https://doi.org/10.1007/s10714-016-2061-2

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  • DOI: https://doi.org/10.1007/s10714-016-2061-2

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