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Frequency shifts of photons emitted from geodesics of nonlinear electromagnetic black holes

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Abstract

We analyzed the frequency shifts of photons emitted from massive particles that move in stable geodesics around black holes with nonlinear electrodynamics. The motion of the photon is modified by an effective metric when the Einstein gravity is coupled with nonlinear electrodynamics. The kinematic shifts for photons are modified by the magnetic and electric factors that make the difference between the linear and nonlinear electrodynamics. As an illustration, we present the frequency shifts of the photons for black holes with nonlinear electrodynamics, two magnetic black holes, and two electric black holes, the Bardeen and Bronnikov black holes for the magnetic charge and the Born–Infeld and Dymnikova black holes for electric charge. These frequency shifts are compared with their linear electromagnetic counterpart.

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References

  1. M.C. Begelman, Evidence for black holes. Science 300(5627), 1898–1903 (2003)

    Article  ADS  Google Scholar 

  2. Z.-Q. Shen, K.Y. Lo, M.-C. Liang, P.T.P. Ho, J.-H. Zhao, A size of \(\sim \)1 au for the radio source Sgr a* at the centre of the Milky Way. Nature 438(7064), 62–64 (2005)

    Article  ADS  Google Scholar 

  3. F. Eisenhauer, G. Perrin, W. Brandner, C. Straubmeier, A. Böhm, H. Baumeister, F. Cassaing, Y. Clénet, K. Dodds-Eden, A. Eckart, E. Gendron, R. Genzel, S. Gillessen, A. Gräter, C. Gueriau, N. Hamaus, X. Haubois, M. Haug, T. Henning, S. Hippler, R. Hofmann, F. Hormuth, K. Houairi, S. Kellner, P. Kervella, R. Klein, J. Kolmeder, W. Laun, P. Léna, R. Lenzen, M. Marteaud, V. Naranjo, U. Neumann, T. Paumard, S. Rabien, J.R. Ramos, J.M. Reess, R.R. Rohloff, D. Rouan, G. Rousset, B. Ruyet, A. Sevin, M. Thiel, J. Ziegleder, D. Ziegler, GRAVITY: microarcsecond astrometry and deep interferometric imaging with the VLT. Astrophys. Space Sci. Proc. 9, 361 (2009)

    Article  ADS  Google Scholar 

  4. K. Akiyama et al., First M87 event horizon telescope results. II. Array and instrumentation. Astrophys. J. Lett. 875(1), L2 (2019a)

    Article  ADS  Google Scholar 

  5. K. Akiyama et al., First M87 event horizon telescope results. I. The shadow of the supermassive black hole. Astrophys. J. 875(1), L1 (2019b)

    Article  ADS  Google Scholar 

  6. A. Herrera-Aguilar, U. Nucamendi, Kerr black hole parameters in terms of the redshift/blueshift of photons emitted by geodesic particles. Phys. Rev. D 92(4), 045024 (2015)

    Article  ADS  Google Scholar 

  7. R. Becerril, S. Valdez-Alvarado, U. Nucamendi, Obtaining mass parameters of compact objects from redshifts and blueshifts emitted by geodesic particles around them. Phys. Rev. D 94(12), 124024 (2016)

    Article  ADS  Google Scholar 

  8. G.V. Kraniotis, Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries (2019), p. 12

  9. S.A. Gutierrez, A.L. Dudley, J.F. Plebanski, Signals and discontinuities in general relativistic nonlinear electrodynamics. J. Math. Phys. 22, 2835–2848 (1981)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. N. Breton, L.A. Lopez, Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics. Phys. Rev. D 94(10), 104008 (2016)

    Article  ADS  Google Scholar 

  11. J.C. Olvera, L.A. López, Scattering and absorption sections of nonlinear electromagnetic black holes. Eur. Phys. J. Plus 135(3), 288 (2020)

    Article  Google Scholar 

  12. Z. Stuchlík, J. Schee, Shadow of the regular Bardeen black holes and comparison of the motion of photons and neutrinos. Eur. Phys. J. C 79(1), 44 (2019)

    Article  ADS  Google Scholar 

  13. R.R. Cuzinatto, C.A.M. Melo, K.C. Vasconcelos, L.G. Medeiros, P.J. Pompeia, Non-linear effects on radiation propagation around a charged compact object. Astrophys. Space Sci. 359(2), 59 (2015)

    Article  ADS  Google Scholar 

  14. A. Allahyari, M. Khodadi, S. Vagnozzi, D.F. Mota, Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope. JCAP 02, 003 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  15. M. Novello, V.A. De Lorenci, J.M. Salim, R. Klippert, Geometrical aspects of light propagation in nonlinear electrodynamics. Phys. Rev. D 61, 045001 (2000)

    Article  ADS  Google Scholar 

  16. E. Ayon-Beato, A. Garcia, The Bardeen model as a nonlinear magnetic monopole. Phys. Lett. B 493, 149–152 (2000)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. I. Dymnikova, Regular electrically charged structures in nonlinear electrodynamics coupled to general relativity. Class. Quantum Gravity 21, 4417–4429 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. A. Kirill, Bronnikov, Regular magnetic black holes and monopoles from nonlinear electrodynamics. Phys. Rev. D 63, 044005 (2001)

    Article  MathSciNet  Google Scholar 

  19. A.D. García, H.I. Salazar, J.F. Plebański, Type-d solutions of the Einstein and Born–Infeld nonlinear-electrodynamics equations. Il Nuovo Cimento B (1971–1996) 84(1), 65–90 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  20. N. Bretón, Geodesic structure of the Born-Infeld black hole. Class. Quantum Gravity 19(4), 601–612 (2002)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Acknowledgements

L. A. López acknowledges the financial support from SNI-CONACYT, México.

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López, L.A., Olvera, J.C. Frequency shifts of photons emitted from geodesics of nonlinear electromagnetic black holes. Eur. Phys. J. Plus 136, 64 (2021). https://doi.org/10.1140/epjp/s13360-020-01053-9

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