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On higher dimensional Einstein spacetimes with a warped extra dimension
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SYSNO ASEP 0359288 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On higher dimensional Einstein spacetimes with a warped extra dimension Author(s) Ortaggio, Marcello (MU-W) RID, SAI, ORCID
Pravda, Vojtěch (MU-W) RID, SAI, ORCID
Pravdová, Alena (MU-W) RID, ORCID, SAISource Title Classical and Quantum Gravity. - : Institute of Physics Publishing - ISSN 0264-9381
Roč. 28, č. 10 (2011), s. 105006Number of pages 17 s. Language eng - English Country GB - United Kingdom Keywords higher-dimensional gravity ; algebraic classification ; Einstein spacetimes Subject RIV BA - General Mathematics R&D Projects GAP203/10/0749 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000290151200007 EID SCOPUS 79957510799 DOI 10.1088/0264-9381/28/10/105006 Annotation We study a class of higher dimensional warped Einstein spacetimes with one extra dimension. These were originally identified by Brinkmann as those Einstein spacetimes that can be mapped conformally on other Einstein spacetimes, and have subsequently appeared in various contexts to describe, e.g., different braneworld models or warped black strings. After clarifying the relation between the general Brinkmann metric and other more specific coordinate systems, we analyze the algebraic type of the Weyl tensor of the solutions. In particular, we describe the relation between Weyl aligned null directions of the lower dimensional Einstein slices and of the full spacetime, which in some cases can be algebraically more special. Possible spacetime singularities introduced by the warp factor are determined via a study of scalar curvature invariants and Weyl components measured by geodetic observers. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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