2020/12/31 by Adamantia Zampeli, Andronikos Paliathanasis
Mathematics · Physics and Astronomy · #Attractor #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quadratic equation #Quantization (signal processing) #Quantum #Quantum Mechanics and Applications #Quantum cosmology #Quantum gravity #Quantum mechanics #Term (time) #Theoretical physics #Universe #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1361-6382/ac1209
11 pages, 2 figures
arxiv created 2021/06/29 · openalex publication_date 2021/07/07 · arxiv updated 2021/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We show that the Szekeres system with cosmological constant admits a sufficient number of conservation laws, which allow to claim the integrability of the system. The main novelty in this investigation is that we find that the unique attractor of the Szekeres system is the isotropic inhomogeneous de Sitter (-like) Universe, contrary to the original system in which the attractors describe Kantowski–Sachs (-like) spacetimes. We also study the existence of quantum corrections and the emergence of classicality by considering the linear and quadratic conserved quantities at the quantum level. We perform an analysis considering different approaches, involving the Bohmian quantum potential and a probability analysis. The result is that there are no quantum corrections for the quadratic integrals, while there exists a linear case for which we find quantum corrections.