Cosmology with Vacuum enegy and Child Universes

Eduardo Guendelman (Physics Department, Ben Gurion University, Beer Sheva, Israel)

Abstract

General Notions of Cosmology are reviewed. The role of Vacuum Energy in the Early Universe Accelelated Expansion (Inflation) and for the present universe, also known to be accelerated,will be discussed. The notion of "local inflation" of a vacuum bubble leads naturally to the "child universe " solutions, where a new universe is created which eventually disconnects from the 'parent' one. The role of solitons, like magnetic monopoles and others for the creationof a universe in the 'laboratory' , both at the classical and quantum level, will be discussed. The basic 'engine' that makes possible and governs all these processes is the vacuum energy. We end with some comment regading some new approaches to the so called 'cosmological constant problem' which consists of the problem of how to explain the tremendous difference between the vacuum energy now and in the early universe .