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Thin Static Charged Dust Majumdar–Papapetrou Shells with High Symmetry in D ≥ 4

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    0377268 - ÚFM 2013 RIV US eng J - Journal Article
    Čermák, Martin - Zouhar, M.
    Thin Static Charged Dust Majumdar–Papapetrou Shells with High Symmetry in D ≥ 4.
    International Journal of Theoretical Physics. Roč. 51, č. 8 (2012), s. 2455-2469. ISSN 0020-7748
    Institutional research plan: CEZ:AV0Z20410507
    Keywords : Majumdar–Papapetrou * Kastor–Traschen * higher dimensional thin charged shell
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.086, year: 2012

    We present a systematical study of static D >= 4 space–times of high symmetry with the matter source being a thin charged dust hypersurface shell. The shell manifold is assumed to have the following structure S_{beta}xR^{D−2−beta}, beta /in{0, . . . ,D−2} is dimension of a sphere S_{beta}. In case of beta = 0, we assume that there are two parallel hyper–plane shells instead of only one. The space–time has Majumdar–Papapetrou form and it inherits the symmetries of the shell manifold – it is invariant under both rotations of the S and translations along R^{D−2−beta}. We find a general solution to the Einstein–Maxwell equations with a given shell. Then, we examine some flat interior solutions with special attention paid to D = 4. A connection to D = 4 non–relativistic theory is pointed out. We also comment on a straightforward gener- alisation to the case of Kastor–Traschen space–time, i.e. adding a non–negative cosmological constant to the charged dust matter source.
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