2010/08/15 by Przemysław Małkiewicz, Przemyslaw Malkiewicz, Malkiewicz, Przemyslaw · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.48550/arxiv.1008.2540
15 pages, 2 figures, improved version, submitted for publication
openalex publication_date 2010/08/15 · arxiv created 2010/09/22 · arxiv updated 2010/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is devoted to investigation of the quantum Friedman-Robertson-Walker universe with matter satisfying the equation of state p=wρ, where w is an almost arbitrary constant. The procedure starts with a reduced Lagrangian, which describes the system in a gauge fixed, so that the evolution parameter corresponds to the cosmological time. Then we construct the phase space, which is believed to correspond to the reduced phase space consisting of Dirac's observables. The physically relevant quantities are mapped into operators. We show that the operators have self-adjoint realizations and that there exist quantum states for which the evolution across singularity is well-defined.