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Rotating brane-world black hole lensing in the strong deflection limit

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Abstract

We consider the metric describing a rotating black hole with tidal charge in the Randall-Sundrum brane world. We study strong field gravitational lensing by this black hole in the quasi-equatorial plane. We compute the angular position of the relativistic caustic points, magnification of the relativistic images and also the critical curves as functions of the metric parameters including the tidal charge. Certain interesting comparisons of the lensing quantities are found with their corresponding properties for the Kerr black hole.

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References

  1. A. S. Majumdar and N. Mukherjee, Int. J.Mod. Phys. D 14, 7 (2005).

    Article  Google Scholar 

  2. N. Dadhich, R. Maartens, P. Papadopoulos, and V. Rezania, Phys. Lett. B 487, 1 (2000).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. A. S. Majumdar, Phys. Rev. Lett. 90, 031303 (2003); A. S. Majumdar, A. Mehta, and J.-M. Luck, Phys. Lett. B 607, 219 (2005).

  4. R. Guedens, D. Clancy, and A. R. Liddle, Phys. Rev. D 66, 043513 (2002); Phys. Rev. D 66, 083509 (2002); D. Clancy, R. Guedens, and A. R. Liddle, Phys. Rev. D 68, 023507 (2003).

  5. D. M. Eardley and S. B. Giddings, Phys. Rev. D 66, 044 011 (2002).

    Google Scholar 

  6. S. Frittelly, T. P. Kling, and E. T. Newman, Phys. Rev. D. 61, 064021 (2000).

    Google Scholar 

  7. K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D 62, 084 003 (2000).

    Google Scholar 

  8. K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D 65, 103 004 (2002).

    Google Scholar 

  9. V. Bozza, S. Capozziello, G. Iovane, and G. Scarpetta, Gen. Rel. Grav. 33, 1535 (2001).

    Article  MATH  ADS  Google Scholar 

  10. G. S. Bisnovatyi-Kogan and O. Yu. Tsupko, Astrophysics 51, 99 (2008).

    Article  ADS  Google Scholar 

  11. E. F. Eiroa, G. E. Romero, and D. F. Torres, Phys.Rev. D 66, 024010 (2002).

    Google Scholar 

  12. A. O. Petters, MNRAS 338, 457 (2003).

    Article  ADS  Google Scholar 

  13. V. Bozza, Phys. Rev. D 66, 103 001 (2002).

    Google Scholar 

  14. A. Bhadra, Phys. Rev. D 67, 103 009 (2003).

    Google Scholar 

  15. G. W. Gibbons and K. Maeda, Nucl. Phys. B 298, 741 (1998); D. Garfinkle, G. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  16. R. Whiskar, Phys. Rev. D 71, 064 004 (2005).

    Google Scholar 

  17. E. F. Eiroa, Phys. Rev. D 71, 083 010 (2005).

    Google Scholar 

  18. D. E. Holtz and J. A. Wheeler, Astroph. J. 578, 330 (2002).

    Article  ADS  Google Scholar 

  19. N. Mukherjee and A. S. Majumdar, Gen. Rel. Grav. 39, 583 (2007).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. D. Richstone et al., Nature, 395, A14 (1998).

    ADS  Google Scholar 

  21. V. Bozza, Phys. Rev. D 67, 103 006 (2003).

    Google Scholar 

  22. G. N. Gyulchev and S. S. Yazadjiev, Phys. Rev. D 75, 023 006 (2007).

    Google Scholar 

  23. A. N. Aliev and A. E. Gumrukcuoglu, Phys. Rev. D 71, 104 027 (2005); A. N. Aliev, astro-ph/0612735; in: Proceedings of the Marcel Grossmann Meeting, Berlin, Germany, July 23–29, 2006, Eds. R. T. Jantzen, H. Kleinert, and R. Ruffini (World Scientific, Singapore, 2008).

  24. P. A. Blaga and C. Blaga, Class. Quantum. Grav. 18, 3893 (2001).

    Article  MATH  MathSciNet  ADS  Google Scholar 

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Mukherjee, N., Majumdar, A.S. Rotating brane-world black hole lensing in the strong deflection limit. Gravit. Cosmol. 15, 263–272 (2009). https://doi.org/10.1134/S0202289309030116

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  • DOI: https://doi.org/10.1134/S0202289309030116

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