Asymptotic behavior of Maxwell fields in higher dimensions

0437500 - MÚ 2015 RIV US eng J - Journal Article
Ortaggio, Marcello
Asymptotic behavior of Maxwell fields in higher dimensions.
Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 90, č. 12 (2014), s. 124020. ISSN 1550-7998
R&D Projects: GA ČR GB14-37086G
Institutional support: RVO:67985840
Keywords : higher-dimensional gravity * asymptotic structure * classical general relativity
Subject RIV: BA - General Mathematics
Impact factor: 4.643, year: 2014
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.124020

We study the fall-off behaviour of test electromagnetic fields in higher dimensions as one approaches infinity along a congruence of ''expanding'' null geodesics. The considered backgrounds are Einstein spacetimes including, in particular, (asymptotically) flat and (anti-)de~Sitter spacetimes. Various possible boundary conditions result in different characteristic fall-offs, in which the leading component can be of any algebraic type (N, II or G). In particular, the peeling-off of radiative fields $F=Nr^{1-n/2}+Gr^{-n/2}+ldots$ differs from the standard four-dimensional one (instead it qualitatively resembles the recently determined behaviour of the Weyl tensor in higher dimensions). General $p$-form fields are also briefly discussed. In even $n$ dimensions, the special case $p=n/2$ displays unique properties and peels off in the ''standard way'' as $F=Nr...{1-n/2}+IIr...{-n/2}+ldots$. A few explicit examples are mentioned.
Permanent Link: http://hdl.handle.net/11104/0241089