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Asymptotically flat, algebraically special spacetimes in higher dimensions
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SYSNO ASEP 0331695 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Asymptotically flat, algebraically special spacetimes in higher dimensions Title Asymptoticky ploché, algebraicky speciální prostoročasy ve vyšších dimenzích Author(s) Ortaggio, Marcello (MU-W) RID, SAI, ORCID
Pravda, Vojtěch (MU-W) RID, SAI, ORCID
Pravdová, Alena (MU-W) RID, ORCID, SAISource Title Physical Review D: Particles, Fields, Gravitation and Cosmology. - : American Physical Society - ISSN 1550-7998
Roč. 80, č. 8 (2009), 084041Number of pages 5 s. Language eng - English Country US - United States Keywords higher-dimensional gravity ; asymptotic flatness ; algebraic classification ; Newman-Penrose formalism Subject RIV BA - General Mathematics R&D Projects KJB100190702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000271353700090 Annotation We analyze asymptotic properties of higher-dimensional vacuum spacetimes admitting a "nondegenerate" geodetic multiple Weyl aligned null direction. After imposing a fall-off condition necessary for asymptotic flatness, we determine the behavior of the Weyl tensor as null infinity is approached along the Weyl aligned null direction. This demonstrates that these spacetimes do not "peel off" and do not contain gravitational radiation (in contrast to their four-dimensional counterparts). In the nontwisting case, the uniqueness of the Schwarzschild-Tangherlini metric in also proven. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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