Asymptotically flat, algebraically special spacetimes in higher dimensions

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.084041· OSTI ID:21325385

Ortaggio, M; Pravda, V; Pravdova, A ^[1]

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1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Prague 1 (Czech Republic)

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 is also proven.

• OSTI ID: 21325385
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 8; Other Information: DOI: 10.1103/PhysRevD.80.084041; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATIONAL RADIATION
METRICS
SCHWARZSCHILD METRIC
SPACE-TIME