论文标题
具有宇宙学恒定期限的不均匀间距的量化
Quantization of inhomogeneous spacetimes with cosmological constant term
论文作者
论文摘要
我们表明，具有宇宙常数的Szekeres系统承认了足够数量的保护法，从而允许声称该系统的整合性。这项调查的主要新颖性是，我们发现Szekeres系统的独特吸引子是各向同性的不均匀的De Sitter（-like）宇宙，与吸引者描述Kantowski-Sachs（类似）空间的原始系统相反。我们还通过考虑量子水平的线性和二次保守量来研究量子校正的存在和经典性的出现。我们对不同的方法进行了分析，涉及Bohmian量子潜力和概率分析。结果是二次积分没有量子校正，而存在一个线性案例，我们找到了量子校正。
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.
