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Thin Static Charged Dust Majumdar–Papapetrou Shells with High Symmetry in D ≥ 4
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SYSNO ASEP 0377268 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Thin Static Charged Dust Majumdar–Papapetrou Shells with High Symmetry in D ≥ 4 Author(s) Čermák, Martin (UFM-A)
Zouhar, M. (CZ)Number of authors 2 Source Title International Journal of Theoretical Physics - ISSN 0020-7748
Roč. 51, č. 8 (2012), s. 2455-2469Number of pages 15 s. Language eng - English Country US - United States Keywords Majumdar–Papapetrou ; Kastor–Traschen ; higher dimensional thin charged shell Subject RIV BE - Theoretical Physics CEZ AV0Z20410507 - UFM-A (2005-2011) UT WOS 000305804300016 DOI 10.1007/s10773-012-1126-6 Annotation 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. Workplace Institute of Physics of Materials Contact Yvonna Šrámková, sramkova@ipm.cz, Tel.: 532 290 485 Year of Publishing 2013
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