Generalized Charged Static Dust Spheres in Relativity

摘要

The report contains an the light of the Einstein-Maxwell-scalar theory a static, bounded, spherically symmetric distrsibution of incoherent dust is considered; the constituents of this dust are supposed to be simultaneously sources of gravitational electrostatic as well as long range scalar fields. Two kinds of scalar fields are considered, the attractive and the repulsive one. Two classes of exact external solutions are encountered, flat at infinity and satisfying the internal boundary conditions: one contains the attractive scalar field, the other the repulsive one. The internal solutions are presented as derivatives of two arbitrary (to some extent) functions of the radial coordinate. All solutions tend straight forwardly to all know less general solutions. A complete regular example is presented. (Atomindex citation 08:331192)