The highly damped quasinormal modes of extremal Reissner–Nordström and Reissner–Nordström–de Sitter black holes

DOI10.1088/0264-9381/25/5/055001zbMATH Open1136.83022arXiv0708.1333OpenAlexW2054929484MaRDI QIDQ5454608

Ramin G. Daghigh, Michael Green

Publication date: 31 March 2008

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We analyze in detail the highly damped quasinormal modes of $D$-dimensional extremal Reissner-Nordstr$ddotmo$m and Reissner-Nordstr$ddotmo$m-de Sitter black holes. We only consider the extremal case where the event horizon and the Cauchy inner horizon coincide. We show that, even though the topology of the Stokes/anti-Stokes lines in the extremal case is different than the non-extremal case, the highly damped quasinormal mode frequencies of extremal black holes match exactly with the extremal limit of the non-extremal black hole quasinormal mode frequencies.

Full work available at URL: https://arxiv.org/abs/0708.1333

Mathematics Subject Classification ID

Black holes (83C57) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (3)

Area spectra of \(d\)-dimensional extreme Reissner-Nordström black holes ⋮ Damped modes for a bosonic quantum oscillator in the near-horizon geometry of the BTZ black hole ⋮ Asymptotic quasinormal frequencies of different spin fields in d-dimensional spherically-symmetric black holes

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