Some exact models for nonspherical collapse. II
Abstract
For charged dust distributions with spherical, planar, and pseudospherical symmetries the general solution to the EinsteinMaxwell equations is presented in quadratures. For zero cosmological constant all the concrete models are listed. Necessary and sufficient conditions are given for these models to have no temporal (occurring at a certain moment of proper time) singularities. Properties of planarly symmetric configurations are discussed in more detail. In particular, conditions are formulated for a plane layer to be mirrorsymmetric in the thickness direction; it is shown that an external electromagnetic field cannot prevent a neutral matter distribution from evolving to a singularity; it is demonstrated that one of two electrovacuum spacetimes matched to a physically acceptable plane layer of matter can have a Cauchy horizon while the other has none. Examples of regular mirrorsymmetric layers are presented.
 Publication:

General Relativity and Gravitation
 Pub Date:
 September 1983
 DOI:
 10.1007/BF00778795
 Bibcode:
 1983GReGr..15..823B
 Keywords:

 Astronomical Models;
 Einstein Equations;
 Gravitational Collapse;
 Maxwell Equation;
 Relativity;
 Singularity (Mathematics);
 Charged Particles;
 Cosmic Dust;
 Field Theory (Physics);
 Mass Distribution;
 Quadratures;
 SpaceTime Functions;
 Symmetry;
 Astrophysics