标题： 具有宇宙学常数项的非均匀时空的量子化 显示英文标题

标题： Quantization of inhomogeneous spacetimes with cosmological constant term

摘要： 我们证明带有宇宙常数的Szekeres系统具有足够多的守恒定律，这使得可以断言该系统的可积性。 这项研究的主要新奇之处在于，我们发现Szekeres系统的唯一吸引子是各向同性的非均匀de Sitter（类似）宇宙，这与原系统中的吸引子描述Kantowski-Sachs（类似）时空相反。 我们还通过考虑量子水平上的线性和二次守恒量，研究了量子修正的存在以及经典性的出现。 我们进行了分析，考虑了不同的方法，包括Bohmian量子势和概率分析。 结果表明，对于二次积分没有量子修正，而对于一个线性情况，我们发现了量子修正。 显示英文摘要

摘要： 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.