Generalised charged static dust in relativity

摘要: For a static dust distribution charged in both the electric and scalar sense authors prove that sum of squares these two types charge densities must be either greater than or equal to square mass density, when potential is function electrostatic potential. In absence electrical field equality sign holds. general, if there no singularity matter three-space conformally Euclidean. They show how generate special class exact solutions empty space presence zero fields some properties are discussed. Finally they present spherically symmetric as examples.