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Asymptotic behavior of Maxwell fields in higher dimensions

  1. 1.
    0437500 - MÚ 2015 RIV US eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR GB14-37086G
    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

    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.
    Trvalý link: http://hdl.handle.net/11104/0241089

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