Asymptotic behaviour of the Weyl tensor in higher dimensions

0434752 - MÚ 2015 RIV US eng J - Článek v odborném periodiku
Ortaggio, Marcello - Pravdová, Alena
Asymptotic behaviour of the Weyl tensor in higher dimensions.
Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 90, č. 10 (2014), s. 104011. ISSN 1550-7998
Grant CEP: GA ČR GA13-10042S
Institucionální podpora: RVO:67985840
Klíčová slova: higher-dimensional gravity * asymptotic structure * classical general relativity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 4.643, rok: 2014
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.104011

We determine the leading order falloff behavior of the Weyl tensor in higher-dimensional Einstein spacetimes (with and without a cosmological constant) as one approaches infinity along a congruence of null geodesics. The null congruence is assumed to “expand” in all directions near infinity (but it is otherwise generic), which includes in particular asymptotically flat spacetimes. In contrast to the well-known four-dimensional peeling property, the falloff rate of various Weyl components depends substantially on the chosen boundary conditions and is also influenced by the presence of a cosmological constant. The leading component is always algebraically special, but in various cases, it can be of type N, III, or II.
Trvalý link: http://hdl.handle.net/11104/0238787