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Type III and N Einstein spacetimes in higher dimensions : general properties

SYSNO ASEP	0348265
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Type III and N Einstein spacetimes in higher dimensions : general properties
Author(s)	Ortaggio, Marcello (MU-W)_{RID, SAI, ORCID} Pravda, Vojtěch (MU-W)_{RID, SAI, ORCID} Pravdová, Alena (MU-W)_{RID, ORCID, SAI}
Source Title	Physical Review D: Particles, Fields, Gravitation and Cosmology. - : American Physical Society - ISSN 1550-7998 Roč. 82, č. 6 (2010), 064043
Number of pages	16 s.
Language	eng - English
Country	US - United States
Keywords	higher-dimensional gravity ; algebraic classification ; Newman-Penrose formalism
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	000282321700009
EID SCOPUS	78650995058
DOI	10.1103/PhysRevD.82.064043
Annotation	The Sachs equations governing the evolution of the optical matrix of geodetic WANDs are explicitly solved in n dimensions in several cases which are of interest in potential applications. This is then used to study Einstein spacetimes of type III and N in the higher dimensional Newman-Penrose formalism, considering both Kundt and expanding solutions. In particular, the general dependence of the metric and of the Weyl tensor on an affine parameter r is obtained in a closed form. This allows us to characterize the peeling behaviour of the Weyl “physical” components for large values of r and thus to discuss, how the presence of twist affects polarization modes, and qualitative differences between four and higher dimensions. Further, the r dependence of certain nonzero scalar curvature invariants of expanding spacetimes is used to demonstrate that curvature singularities may generically be present.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1