Superradiance and quasinormal modes of the gravitational perturbation around rotating hairy black hole. (English) Zbl 1523.83040
Summary: The No Hair theorem in classical general relativity predicts that rotating black holes are specified by the Kerr metric, which is uniquely identified by the mass and spin. However, as a pioneering study beyond general relativity, the rotating hairy black hole has been proposed, which encompasses the Kerr black hole as a special case. In these black holes, there are extra hair which could appear due to the additional surrounding sources such as dark matter or dark energy. In this work, we study the phenomenology of the rotating hairy black hole in terms of gravitational perturbations. In particular, the superradiance and the quasinormal modes. Using the matching-asymptotic method, we derive the amplification factor and the superradiance conditions. We also calculate the quasinormal modes using the continued fraction method. The results are in very good agreement with previous studies in the Kerr limit. We also show how the amplification and quasinormal modes will shift in response to variations in the hairy parameters, black hole spin, and quantum numbers.
MSC:
| 83C57 | Black holes |
| 70E05 | Motion of the gyroscope |
| 35B20 | Perturbations in context of PDEs |
| 81V80 | Quantum optics |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 83C56 | Dark matter and dark energy |
| 83C30 | Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory |
| 11Y65 | Continued fraction calculations (number-theoretic aspects) |
References:
| [1] | Abbott, B. P., Phys. Rev. Lett., 116, Article 061102 pp. (2016) |
| [2] | Abbott, B. P., Phys. Rev. D, 100, Article 104036 pp. (2019) |
| [3] | Abbott, B. P., Phys. Rev. Lett., 119, Article 161101 pp. (2017) |
| [4] | Akiyama, K., Astrophys. J. Lett., 875, L1 (2019) |
| [5] | K. Akiyama, et al., Event Horizon Telescope Collaborations, Astrophys. J. Lett. 930, L15. |
| [6] | Carter, B., Phys. Rev. Lett., 26, 331 (1971) |
| [7] | Hawking, S. W., Commun. Math. Phys., 25, 152 (1972) |
| [8] | Robinson, D. C., Phys. Rev. Lett., 34, 905 (1975) |
| [9] | Mazur, P. O., J. Phys. A, Math. Gen., 15, 3173 (1982) · Zbl 1141.83304 |
| [10] | Bekenstein, J. D., Phys. Rev. D, 51, 6608 (1995) |
| [11] | Herdeiro, C. A.R.; Radu, E., Int. J. Mod. Phys. D, 24, Article 1542014 pp. (2015) · Zbl 1339.83008 |
| [12] | Ovalle, J.; Casadio, R.; Contreras, E.; Sotomayor, A., Phys. Dark Universe, 31, Article 100744 pp. (2021) |
| [13] | Contreras, E.; Ovalle, J.; Casadio, R., Phys. Rev. D, 103, Article 044020 pp. (2021) |
| [14] | Ovalle, J., Phys. Rev. D, 95, Article 104019 pp. (2017) |
| [15] | Ovalle, J., Phys. Lett. B, 788, 213 (2019) · Zbl 1405.83006 |
| [16] | Islam, S. U.; Ghosh, S. G., Phys. Rev. D, 103, Article 124052 pp. (2021) |
| [17] | Afrin, M.; Kumar, R.; Ghosh, S. G., Mon. Not. R. Astron. Soc., 504, 5927 (2021) |
| [18] | Cavalcanti, R. T.; de Paiva, R. C.; da Rocha, R., Eur. Phys. J. Plus, 137, 1185 (2022) |
| [19] | Vagnozzi, S. |
| [20] | Jha, S. K.; Rahaman, A. |
| [21] | Mahapatra, S.; Banerjee, I. |
| [22] | Abadie, J., Phys. Rev. D, 83, Article 122005 pp. (2011) |
| [23] | Dreyer, O., Class. Quantum Gravity, 21, 787 (2004) |
| [24] | Brito, R.; Cardoso, V.; Pani, P., Lect. Notes Phys., 906, 237 (2015) |
| [25] | Roy, R.; Vagnozzi, S.; Visinelli, L., Phys. Rev. D, 105, Article 083002 pp. (2022) |
| [26] | Chen, Y.; Roy, R.; Vagnozzi, S.; Visinelli, L., Phys. Rev. D, 106, Article 043021 pp. (2022) |
| [27] | Hugo, R. C.F.; Carlos, A. R.H., Phys. Rev. D, 97, Article 084003 pp. (2018) |
| [28] | Kolyvaris, T.; Koukouvaou, M.; Machattou, A.; Papantonopoulos, E., Phys. Rev. D, 98, Article 024045 pp. (2018) |
| [29] | Frolov, V. P.; Zelnikov, A., Phys. Rev. D, 98, Article 084035 pp. (2018) |
| [30] | Wondrak, M. F.; Nicolini, P.; Moffat, J. W., J. Cosmol. Astropart. Phys., 12, Article 021 pp. (2018) · Zbl 1536.83115 |
| [31] | Destounis, K., Phys. Rev. D, 100, Article 044054 pp. (2019) |
| [32] | Khodadi, M.; Talebian, A.; Firouzjahi, H. |
| [33] | Franzin, E.; Liberati, S.; Oi, M., Phys. Rev. D, 103, Article 104034 pp. (2021) |
| [34] | Franzin, E.; Liberati, S.; Mazza, J.; Dey, R.; Chakraborty, S., Phys. Rev. D, 105, Article 124051 pp. (2022) |
| [35] | Dey, R.; Biswas, S.; Chakraborty, S., Phys. Rev. D, 103, Article 084019 pp. (2021) |
| [36] | Khodadi, M., Phys. Rev. D, 103, Article 064051 pp. (2021) |
| [37] | Chen, W. X.; Zheng, Y. G. |
| [38] | Cuadros-Melgar, B.; Fontana, R. D.B.; de Oliveira, J., Phys. Rev. D, 104, Article 104039 pp. (2021) |
| [39] | Khodadi, M.; Pourkhodabakhshi, R., Phys. Lett. B, 823, Article 136775 pp. (2021) · Zbl 1483.83051 |
| [40] | Richarte, M. G.; Martins, É. L.; Fabris, J. C., Phys. Rev. D, 105, Article 064043 pp. (2022) |
| [41] | Alexander, S.; Gabadadze, G.; Jenks, L.; Yunes, N. |
| [42] | Mascher, G.; Destounis, K.; Kokkotas, K. D., Phys. Rev. D, 105, Article 084052 pp. (2022) |
| [43] | Ishii, T.; Kaku, Y.; Murata, K., J. High Energy Phys., 10, Article 024 pp. (2022) · Zbl 1534.83046 |
| [44] | Jha, S. K.; Rahaman, A. |
| [45] | Yang, H.; Miao, Y. G. |
| [46] | Zeldovich, JETP Lett., 14, 180 (1971); J. Exp. Theor. Phys., 35, 1085 (1972) |
| [47] | Torres, T., Nat. Phys., 13, 833 (2017) |
| [48] | Braidotti, M. C., Phys. Rev. Lett., 128, Article 013901 pp. (2022) |
| [49] | Li, Zhen, Phys. Rev. D, 107, Article 044013 pp. (2023) |
| [50] | Ghosh, S. G., Eur. Phys. J. C, 75, 532 (2015) |
| [51] | Teukolsky, S. A., Astrophys. J., 185, 635 (1973) |
| [52] | Dudley, A. L.; Finley, J. D., J. Math. Phys., 20, 311 (1979) |
| [53] | Kokkotas, K. D., Nuovo Cimento B, 108, 991 (1993) |
| [54] | Berti, E.; Kokkotas, K. D., Phys. Rev. D, 71, Article 124008 pp. (2005) |
| [55] | Brito, R.; Cardoso, V.; Pani, P., Class. Quantum Gravity, 32, Article 134001 pp. (2015) · Zbl 1327.83140 |
| [56] | (Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1965), Dover: Dover New York) · Zbl 0171.38503 |
| [57] | Page, D. N., Phys. Rev. D, 13, 198 (1976) |
| [58] | Starobinski, A., Zh. Eksp. Teor. Fiz., 64, 48 (1973) |
| [59] | Starobinski, A.; Churilov, S. M., Zh. Eksp. Teor. Fiz., 65, 3 (1973) |
| [60] | Page, D. N., Phys. Rev. D, 13, 198 (1976) |
| [61] | Kokkotas, K. D.; Schmidt, B. G., Living Rev. Relativ., 2, 2 (1999) · Zbl 0984.83002 |
| [62] | Berti, E.; Cardoso, V.; Starinets, A. O., Class. Quantum Gravity, 26, Article 163001 pp. (2009) · Zbl 1173.83001 |
| [63] | Konoplya, R. A.; Zhidenko, A. V., Rev. Mod. Phys., 83, 793 (2011) |
| [64] | Siqueira, P. H.C.; Richartz, M., Phys. Rev. D, 106, Article 024046 pp. (2022) |
| [65] | Mishra, A. K.; Ghosh, A.; Chakraborty, S., Eur. Phys. J. C, 82, 820 (2022) |
| [66] | Daghigh, R. G.; Green, M. D.; Morey, J. C. |
| [67] | Leaver, E. W., Proc. R. Soc. Lond. A, 402, 285 (1985) |
| [68] | Nollert, H. P., Phys. Rev. D, 47, 5253 (1993) |
| [69] | Berti, E.; Cardoso, V.; Will, C. M., Phys. Rev. D, 73, Article 064030 pp. (2006) |
| [70] | Konoplya, R. A.; Zhidenko, A. V., Phys. Rev. D, 73, Article 124040 pp. (2006) |
| [71] | Dolan, S. R., Phys. Rev. D, 76, Article 084001 pp. (2007) |
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