Dynamical systems techniques in cosmology. An example: LQC and the Einstein static universe. (English) Zbl 1187.83082

The author has studied stability properties of the Einstein static universe in general relativity for the case of a positive cosmological constant. It is shown that loop quantum cosmology (LQC) leads to a new high energy critical point for the Einstein static model. Thus, it points out that high energy modification to general relativity modifies the big bang singularity and also the dynamical nature of the non-singular Einstein static universe.


83F05 Relativistic cosmology
83C45 Quantization of the gravitational field
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)