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Quasinormal modes of massless scalar field perturbation of a Reissner–Nordström de Sitter black hole with a global monopole

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Abstract

The quasinormal modes of massless scalar field perturbation of the Reissner–Nordström de Sitter black hole with a global monopole is investigated using the 6th order WKB method. The results show that the magnitude of the real part of the quasinormal frequencies decreases, while the magnitude of the imaginary one increases as \(b\) (related to \(\eta \)—the scale factor of symmetry-broking) increases for fixed angular harmonic index \(l\), overtone index \(n\), cosmological constant \(\Lambda \) and charge \(Q\). For fixed \(l\), \(n\), \(\Lambda \), and \(b\), the damping of massless scalar field in the space–time of the Reissner–Nordström de Sitter black hole with a global monopole faster and faster at first and afterwards becomes slower and slower with the increase of \(Q\) when the cosmological constant \(\Lambda \) is smaller, while the cosmological constant \(\Lambda \) is larger, the damping becomes faster and faster all the way with the increase of \(Q\).

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Acknowledgments

This work was partially supported by the Talent Cultivation Foundation of Kunming University of Science and Technology under Grant No. KKSY201207053 and by the Working Funds of the Introduced High-level Talents of Yunnan Province from the Department of Human Resources and Social Security of Yunnan Province.

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Correspondence to Yu Zhang.

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Zhang, Y., Li, EK. & Geng, JL. Quasinormal modes of massless scalar field perturbation of a Reissner–Nordström de Sitter black hole with a global monopole. Gen Relativ Gravit 46, 1728 (2014). https://doi.org/10.1007/s10714-014-1728-9

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