Quasinormal modes of generalized ABG black holes: scalar and gravitational perturbations

详细信息    查看全文

• 作者：Ping Xi ; Xi-chen Ao
• 关键词：Quasinormal modes ; Generalized ABG black holes ; The sixth ; order WKB method
• 刊名：General Relativity and Gravitation
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：48
• 期：2
• 全文大小：424 KB
• 参考文献：1.Konoplya, R.A., Zhidenko, A.: Quasinormal modes of black holes: from astrophysics to string theory. Rev. Mod. Phys. 83, 793 (2011)CrossRef ADS
  2.Li, X.Z., Hao, J.G., Liu, D.J.: Quasinormal modes of stringy black hole. Phys. Lett. B 501, 312 (2001)CrossRef ADS MathSciNet
  3.Xi, P., Li, X.Z.: Object picture of quasinormal modes for string black holes. Chin. Phys. Lett. 22, 2763 (2005)CrossRef ADS
  4.Berti, E., Cardoso, V., Starinets, A.O.: Quasinormal modes of black holes and black branes. Class. Quantum Gravit. 26, 163001 (2009)CrossRef ADS MathSciNet
  5.Xi, P., Li, X.Z.: Quasinormal modes and late-time tails of canonical acoustic black holes. Int. J. Mod. Phys. D 16, 1211 (2007)CrossRef ADS MathSciNet MATH
  6.Leaver, E.W.: An analytic representation for quasi normal modes of Kerr black holes. Proc. R. Lond. A402, 285 (1985)CrossRef ADS MathSciNet
  7.Moss, I.G., Norman, J.P.: Gravitational quasinormal modes for anti-de Sitter black holes. Class. Quantum Gravit 19, 2323 (2002)CrossRef ADS MathSciNet MATH
  8.Iyer, S., Will, C.M.: Black-hole normal modes: a WKB approach. I. Foundations and application of a higher-order WKB analysis of potential-barrier scattering. Phys. Rev. D 35, 3621 (1987)CrossRef ADS
  9.Bardeen, J. M.: presented at GR5, Tiflis, U.S.S.R., and published in the conference proceedings in the U.S.S.R. (1968)
  10.Ayón-Beato, E., García, A.: Regular black holein general relativity coupled nonlinear electrodynamics. Phys. Rev. Lett. 80, 5056 (1998)CrossRef ADS
  11.Bronnikov, K.A.: Comment on ’Regular black hole in general relativity coupled to nonlinear electrodynamics’. Phys. Rev. Lett. 85, 4641 (2000)CrossRef ADS
  12.Stuchlik, Z., Schee, J.: Circular geodesic of Bardeen and Ayón-Beato–García regular black-hole and no-horizon spacetimes. Int. J. Mod. Phys. D 24, 1550020 (2015)CrossRef ADS MathSciNet
  13.García, A., Hackmann, E., Kunz, J., Lämmerzahl, C., Macías, A.: Motion of test particle in a regular black hole space-time. J. Math. Phys. 56, 032501 (2015)CrossRef ADS MathSciNet
  14.Ayón-Beato, E., García, A.: Four-parametric regular black hole solution. Gen. Relativ. Gravit. 37, 635 (2005)CrossRef ADS MATH
  15.Bambi, C., Modesto, L.: Rotating regular black holes. Phys. Lett. B 721, 329 (2013)CrossRef ADS MathSciNet MATH
  16.Toshmatov, B., Ahmedov, B., Abdujabbarov, A., Stuchlik, Z.: Rotating regular black hole solution. Phys. Rev. D 89, 104017 (2014)CrossRef ADS
  17.Fernando, S., Correa, J.: Quasinormal modes of Bardeen black holes: scalar perturbations. Phys. Rev. D 86, 064039 (2012)CrossRef ADS
  18.Toshmatov, B., Abdujabbarov, A., Stuchlík, Z., Ahmedov, B.: Quasinormal modes of test fields around regular black holes. Phys. Rev. D 91, 083008 (2015)CrossRef ADS
  19.Li, J., Hong, M., Lin, K.: Dirac quasinormal models in spherically symmetric regular black holes. Phys. Rev. D 88, 064001 (2013)CrossRef ADS
  20.Flachi, A., Lemos, J.P.S.: Quasinormal modes of regular black holes. Phys. Rev. D 87, 024034 (2013)CrossRef ADS
  21.Nomura, H., Tamaki, T.: Continuous area spectrum in regular black hole. Phys. Rev. D 71, 124033 (2005)CrossRef ADS MathSciNet
  22.Schutz, B.F., Will, C.M.: Black hole normal modes: a semianalytic approach. Astrophys. J. 291, L33 (1985)CrossRef ADS
  23.Seidel, E., Iyer, S.: Black hole normal modes: a WKB approach. 4. Kerr black holes. Phys. Rev. D 41, 374 (1990)CrossRef ADS
  24.Konoplya, R.A.: Quasinormal behavior of the D-dimensional Schwarzschild black hole and the higher order WKB approach. Phys. Rev. D 68, 024018 (2003)CrossRef ADS
  25.Konoplya, R.A.: Gravitational quasinormal radiation of higher dimensional black holes. Phys. Rev. D 68, 124017 (2003)CrossRef ADS MathSciNet
  26.Moreno, C., Sarbach, O.: Stability properties of black holes in self-gravitating nonlinear electrodynamics. Phys. Rev. D 67, 024028 (2003)CrossRef ADS MathSciNet
  
• 作者单位：Ping Xi (1)
  Xi-chen Ao (1)
  
  1. Center for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

ABG black holes are charged regular black holes based on Einstein gravity and nonlinear electrodynamics, proposed by Ayón-Beato and García. In 2005, they generalized the ABG black holes to a new class of regular black holes which have four characteristic parameters: the mass m, the electric charge q and the rest two parameters \(\alpha \) and \(\beta \) related with the dipole and quadrupole moment of the nonlinear electromagnetic field, respectively. In this paper, we study the quasinormal modes (QNMs) of these generalized ABG black holes for scalar and gravitational perturbations by the sixth-order WKB method. The numerical results show the generalized ABG black holes are stable and the relations between QNMs and the parameter of the perturbation fields and the parameters of the black holes are discussed. The real part and the imaginary part of the generalized ABG black holes increase as the charge increasing. Furthermore, the dependence of the QNMs on the other parameters is also illustrated and the analytical expression of the quasinormal frequency for the large multipole index is obtained.