Asymptotically flat, algebraically special spacetimes in higher dimensions
Result description
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 nontwistingcase, the uniqueness of the Schwarzschild-Tangherlini metric in also proven.
Keywords
higher-dimensional gravityasymptotic flatnessalgebraic classificationNewman-Penrose formalism
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Asymptotically flat, algebraically special spacetimes in higher dimensions
Original language description
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 nontwistingcase, the uniqueness of the Schwarzschild-Tangherlini metric in also proven.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
KJB100190702: Solutions of the Einstein equations in higher dimensions
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
80
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
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UT code for WoS article
000271353700090
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2009