Document Type
Article
Rights
Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence
Disciplines
1.1 MATHEMATICS
Abstract
A stability analysis of Einstein’s universe in both classical General Relativity and semiclassical Loop Quantum Cosmology regimes is presented. The stability properties of the General Relativity model are significantly altered due to Loop Quantum Gravity corrections. Comparisons between both dynamical systems are considered on the basis of these modifications. The Loop Quantum Cosmology solutions are restricted to an open universe model (k = -1) and represent a cyclic universe. The integrals of motion for both systems are found and their Hamiltonian structure determined.
DOI
https://doi.org/10.1142/S0217751X20501663
Recommended Citation
E. McCaughey, Stability analysis of Einstein's universe in loop quantum cosmology, International Journal of Modern Physics A, Volume 35, Number 28 2020, DOI: 10.1142/S0217751X20501663
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Details
International Journal of Modern Physics
Link to published:
https://www.worldscientific.com/doi/abs/10.1142/S0217751X20501663