English

Thin static charged dust Majumdar-Papapetrou shells with high symmetry in D >= 4

General Relativity and Quantum Cosmology 2012-04-30 v2

Abstract

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) X R^(D-2-beta), beta (in the interval <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_(beta) 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 generalisation to the case of Kastor-Traschen space-time, i.e. adding a non-negative cosmological constant to the charged dust matter source.

Keywords

Cite

@article{arxiv.1202.6214,
  title  = {Thin static charged dust Majumdar-Papapetrou shells with high symmetry in D >= 4},
  author = {Martin Cermak and Martin Zouhar},
  journal= {arXiv preprint arXiv:1202.6214},
  year   = {2012}
}

Comments

Accepted in Int. J. Theor. Phys