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

- 1.0377268 - 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.

Permanent Link: http://hdl.handle.net/11104/0209471