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  A remark about wave equations on the extreme Reissner-Nordström black hole exterior

Bizon, P., & Friedrich, H. (2013). A remark about wave equations on the extreme Reissner-Nordström black hole exterior. Classical and quantum gravity, 30(6): 065001. doi:10.1088/0264-9381/30/6/065001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-7C80-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-192C-4
Genre: Journal Article

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1212.0729 (Preprint), 117KB
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 Creators:
Bizon, Piotr, Author
Friedrich, Helmut1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We consider a massless scalar field propagating on the exterior of the extreme Reissner-Nordstr\"om black hole. Using a discrete conformal symmetry of this spacetime, we draw a one-to-one relationship between the behavior of the field near the future horizon and near future null infinity. In particular, we show that the polynomial growth of the second and higher transversal derivatives along the horizon, recently found by Aretakis, reflects well known facts about the retarded time asymptotics at null infinity.

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 Dates: 2012-12-0420132013
 Publication Status: Published in print
 Pages: 9 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1212.0729
DOI: 10.1088/0264-9381/30/6/065001
 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: 30 (6) Sequence Number: 065001 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1