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

0377268 - ÚFM 2013 RIV US eng J - Článek v odborném periodiku
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. E-ISSN 1572-9575
Výzkumný záměr: CEZ:AV0Z20410507
Klíčová slova: Majumdar–Papapetrou * Kastor–Traschen * higher dimensional thin charged shell
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.086, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0209471