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  Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications

Jasiulek, M. (2012). Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications. Classical and quantum gravity, 29(1): 015008. doi:10.1088/0264-9381/29/1/015008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-5E25-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-5E27-6
Genre: Journal Article

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1109.2513 (Preprint), 3MB
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 Creators:
Jasiulek, Michael1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present new results from two codes, using finite differencing and pseudo-spectral methods for the wave equations in (3+1) dimensions. We use a hyperboloidal transformation which allows direct access to null infinity and simplifies the control over characteristic speeds on Kerr-Schild backgrounds. We show that this method is ideal for attaching hyperboloidal slices or for adapting the numerical resolution in certain spacetime regions. As an example application, we study late-time Kerr tails of sub-dominant modes and obtain new insight into the splitting of decay rates. The involved conformal wave equation is freed of formally singular terms whose numerical evaluation might be problematically close to future null infinity.

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 Dates: 2011-09-122012
 Publication Status: Published in print
 Pages: 15 pages, 12 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1109.2513
DOI: 10.1088/0264-9381/29/1/015008
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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: 29 (1) Sequence Number: 015008 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1