Investigación

 

Time evolution of spinor perturbations in regular black holes

 

O. Pavel Fernández Piedra, J. Bernal Castillo, F. Sosa Núñez and Y. Jiménez Santana

 

Grupo de Estudios Avanzados, Universidad de Cienfuegos, Carretera a Rodas, Cuatro Caminos, s/n. Cienfuegos, Cuba. e-mail: opavel@ucf.edu.cu; jbernal@ucf.edu.cu; fsosa@ucf.edu.cu; yjsantana@ucf.edu.cu

 

Received 17 March 2015;
accepted 29 June 2015

 

Abstract

In this report we present results concerning the study of complete time evolution of massless fermion perturbations propagating in several four dimensional regular black hole space-times. The black hole solution arises from coupling gravity with external matter sources, like nonlinear electrodynamics or some phantom fields. After numerical integration we obtain the time evolution profiles for fermion fields in this space-times. By fitting the numerical data, we compute the quasinormal frequencies that characterize the test field evolution at intermediary times, and for late times, we find power law tails, in strong similarity with usual results for non regular black holes. Quasinormal modes was also investigated using a WKB approach at six order beyond the eikonal limit, obtaining a good correspondence with the numerical calculated frequencies.

Keywords: Regular black hole; spinor perturbations; Dirac fields.

PACS: 02.30Gp; 03.65ge

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

References

1. T. Regge and J.A. Wheeler, Phys. Rev. 108 (1957) 1063.         [ Links ]

2. K.D. Kokkotas and B. G. Schmidt, Living Rev. Rel. 2 (1999) 2.         [ Links ]

3. H.-P. Nollert, Class. Quant. Grav. 16 (1999) R159.         [ Links ]

4. E. Berti, V. Cardoso, and A.O., Starinets, Class. Quant. Grav. 26 (2009) 163001.         [ Links ]

5. R. A. Konoplya and A. Zhidenko, Rev. Mod. Phys 83 (2011) 793.         [ Links ]

6. E. Berti, V. Cardoso, J.A. Gonzales and U. Sperhake, Phys. Rev. D 75 (2007) 124017.         [ Links ]

7. H.T. Cho, A.S. Cornell, J. Doukas and W. Naylor Phys. Rev. D 75 (2007) 104005.         [ Links ]

8. G. Gibbons and M. Rogatko, Phys. Rev. D 77 (2008) 044034.         [ Links ]

9. O.P. Fernández Piedra and J. de Oliveira, Class. Quantum Grav. 28 (2011) 085023.         [ Links ]

10. O.P. Fernández Piedra, Int. Journal of Mod. Phys. D 20 (2011) 93.         [ Links ]

11. O.P. Fernández Piedra, F. Sosa, José Bernal and Y. Jiménez, Int. Journal of Mod. Phys. D 21 (2012) 1250044.         [ Links ]

12. O.P. Fernández Piedra, J. Bernal, Y. Jiménez and L. Figueredo, Int. Journal of Mod. Phys. D 22 (2013) 1350073.         [ Links ]

13. J.M. Bardeen, Proceedings of GR5 (Tbilisi, USSR) (1968) 174.         [ Links ]

14. E. Ayon-Beato and A. García, Phys. Lett. B 493 (2000) 149.         [ Links ]

15. S.A. Hayward, Phys. Rev. Lett 96 (2006) 031103.         [ Links ]

16. K.A. Bronnikov, Phys. Rev. D 63 (2001) 044005.         [ Links ]

17. W. Berej, J. Matyjasek, D. Tryniecki and M. Woronowicz, Gen. Rel. Grav 38 (2006) 885.         [ Links ]

18. I. Dymnikova Class. Quant. Grav 21 (2004)4417.         [ Links ]

19. E. Ayon-Beato and A. García, Phys. Rev Lett. 80 (1998) 5056.         [ Links ]

20. K.A. Bronnikov and J.C. Fabris, Phys. Rev Lett. 96 (2006) 251101.         [ Links ]

21. A. Flachi and J.P.S. Lemos, Phys. Rev. D 87 (2013) 024034.         [ Links ]

22. J. Li, H. Ma and K. Lin, Phys. Rev. D 88 (2013) 064001.         [ Links ]

23. S. Iyer and C.M. Will, Phys. Rev. D35 (1987) 3621.         [ Links ]

24. G. López-Ortega, Lat. Am. J. Phys. Educ. 3 (2009) 578.         [ Links ]

25. S. Chandrasekar, The Mathematical theory of Black Holes, (Clarendon, Oxford, 1983).         [ Links ]

26. E. Abdalla, O.P.F. Piedra, F. Sosa and J. de R. Oliveira, Phys. Rev. 88 (2013) 064035.         [ Links ]

27. C. Gundlach, R. H. Price, J. Pullin, Phys. Rev. 49 (1994) 883.         [ Links ]

28. R.A. Konoplya and E. Abdalla, Phys. Rev. D 71 (2005) 084015.         [ Links ]

29. M.I. Liu, H.I. Liu and Y.X. Gui, Class. Quantum Grav. 25 (2008) 105001.         [ Links ]

30. S. Fernandeo and K. Arnold, Gen. Rel. Grav. 36 (2004) 1805.         [ Links ]

31. H. Ishihara, M. Kimura, R.A. Konoplya, K. Murata, J. Soda and A. Zhidenko, Phys. Rev. D 77 (2008) 084019.         [ Links ]

32. E. Abdalla, O.P.F. Piedra and J. de Oliveira, C. Molina, Phys. Rev. D 81 (2010) 064001.         [ Links ]

33. B. Schutz and C.M. Will, Astrophys. J. Lett. L 33 (1985) 291.         [ Links ]

34. R.A. Konoplya, Phys. Rev. D 68 (2003) 024018.         [ Links ]

35. R.A. Konoplya, J. Phys. Stud. 8 (2004) 93.         [ Links ]

36. J. Jing, Phys. Rev. D71 (2005) 124006.         [ Links ]

37. J. Jing, JHEP 0512 (2005) 005.         [ Links ]

38. S. Chakrabarty, Eur. Phys. J. C. 61 (2009) 477.         [ Links ]

39. F. Shu and Y. Shen, Phys. Lett. B 614 (2005) 195.         [ Links ]

40. R.H. Price, Phys. Rev. D 5 (1972) 2419.         [ Links ]

41. R.H. Price and L.M. Burko, Phys. Rev. D 70 (2004) 084039.         [ Links ]

42. E.S.C. Ching, P.T. Leung, W.M. Suen and K. Young, Phys. Rev. Lett. 74 (1995) 2414.         [ Links ]

43. E.S.C. Ching, P.T. Leung, W.M. Suen and K. Young, Phys. Rev. D 52 (1995) 2118.         [ Links ]