2007/08/30 by Pouria Pedram, P. Pedram, S. Jalalzadeh +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Mechanics and Non-Hermitian Physics #gr-qc
paper · pdf · doi:10.1016/j.physletb.2007.08.077
published as Phys.Lett.B655:91-96,2007 · 6 pages, 4 figures, 1 table, to appear in PLB
arxiv created 2007/08/30 · openalex publication_date 2007/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the Stephani quantum cosmological model in the presence of a cosmological constant in radiation dominated Universe. In the present work the Schutz's variational formalism which recovers the notion of time is applied. This gives rise to Wheeler-DeWitt equations which can be cast in the form of Schrödinger equations for the scale factor. We find their eigenvalues and eigenfunctions by using the Spectral Method. Then we use the eigenfunctions in order to construct wave packets and evaluate the time-dependent expectation value of the scale factor, which is found to oscillate between non-zero finite maximum and minimum values. Since the expectation value of the scale factor never tends to the singular point, we have an initial indication that this model may not have singularities at the quantum level.