AI 中文总结
研究关于描述史瓦西黑洞内部随时间变化度规的超对称变形，通过构建非对易玻色子模型、超荷及方程，利用WKB近似得经典动力学，讨论变形在相空间宇宙学和黑洞背景下的影响。
AI 中文摘要
本文构建了描述史瓦西黑洞内部的随时间变化度规的超对称（SUSY）变形版本。首先通过在微型超空间坐标和相关正则动量中引入变形来构建非对易玻色子模型。接着按照超对称量子力学方法构建变形模型的超荷并得到变形的超对称惠勒 - 德维特方程。利用WKB近似得到经典动力学，找出超对称和玻色子情形下的经典解及满足哈密顿约束的条件。最后讨论了变形在变形相空间宇宙学和黑洞背景下的影响。
英文摘要
This paper presents the construction of the supersymmetric (SUSY) deformed version of the time dependent metric that describes the interior of the Schwarzschild BH. First, the noncommutative bosonic model is constructed by inducing the deformation in the minisuperspace coordinates and the associated canonical momentum. Following the methods of SUSY quantum mechanics, the supercharges of the deformed models are constructed and the deformed SUSY Wheeler-DeWitt equation is obtained. The classical dynamics are also obtained using the WKB approximation, we find the classical solutions and the conditions to satisfy the Hamiltonian constraint for both the SUSY and bosonic cases. Finally, the effects of the deformation in the context of deformed phase space cosmology and black holes are discussed.
