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On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis

Bhattacharjee, S., Chakrabarty, B., Chow, D. D. K., Paul, P., & Virmani, A. (2018). On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis. Classical and quantum gravity, 35(20 ): 205002. doi:10.1088/1361-6382/aade59.

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Creators:
Bhattacharjee, Srijit, Author
Chakrabarty, Bidisha, Author
Chow, David D. K., Author
Paul, Partha, Author
Virmani, Amitabh1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract: In this brief note, we revisit the study of the leading order late time decay tails of massless scalar perturbations outside an extreme Reissner-Nordstr\"om black hole. Previous authors have analysed this problem in the time domain; we analyse the problem in the frequency domain. We first consider initial perturbations with generic regular behaviour across the horizon on characteristic surfaces. For this set-up, we reproduce some of the previous results of Sela [arXiv:1510.06169] using Fourier methods. Next, we consider related initial data on $t=\mbox{const}$ hypersurfaces, and present decay results at timelike infinity, near future null infinity, and near the future horizon. Along the way, using the $r_* \to -r_*$ inversion symmetry of the extreme Reissner-Nordstr\"om spacetime, we relate the higher multipole Aretakis and Newman-Penrose constants for a massless scalar in this background.

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Dates: 2018-05-272018
Publication Status: Published in print
Pages: 22 pages; 2 figures
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1805.10655
URI: http://arxiv.org/abs/1805.10655
Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 35 (20 ) Sequence Number: 205002 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_1