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： 我们证明了带有宇宙常数的苏克斯系统具有足够数量的守恒定律，这使得我们可以断言该系统的可积性。 本研究的主要新意在于我们发现苏克斯系统的唯一吸引子是各向异性非均匀的de Sitter（-类似）宇宙，与原始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。 我们采用不同的方法进行了分析，包括Bohmian量子势和概率分析。 结果表明，二次积分没有量子修正，而存在一个线性情况，我们在其中发现了量子修正。 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.