论文标题
Minisuperspace Quantum宇宙学中的度量和重力理论
Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
论文作者
论文摘要
迷你植物量子宇宙学是一种方法，可以推断出可以适当代表可观察和不可观察的宇宙的动态系统的初始条件。在这里，我们讨论了重力理论，从各种角度来看，它扩展了爱因斯坦的总体相对论。具体而言，$ f（r）$，$ f（t）$和$ f（\ Mathcal {g}）$重力的哈密顿形式主义，带有$ r $，$ t $和$ \ \ \ \ \ \ m nathcal {g} $是弯曲，扭曲，扭力和高斯 - 摩托车鳞片，分别从arnowwowt-sersern-wowt-sersern-ser-ser-ser-ser-misner-ser-ser-ser-misner-ser-misner-ser-misner-ser-misner-ser-misner-ser-misner-misner-misner-ser-misner-ser-misner-ser-misner-misserne方法。 Minisuperspace量子宇宙学都是针对所有这些模型得出的，并且由于存在Noether对称性而获得了宇宙学解决方案。鉴于可观察到的宇宙，Hartle标准允许解释解决方案。
Minisuperpace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent observable and non-observable universes. Here we discuss theories of gravity which, from various points of view, extend Einstein's General Relativity. Specifically, the Hamiltonian formalism for $f(R)$, $f(T)$ and $f(\mathcal{G})$ gravity, with $R$, $T$, and $\mathcal{G}$ being the curvature, torsion and Gauss--Bonnet scalars, respectively, is developed starting from the Arnowitt-Deser-Misner approach. The Minisuperspace Quantum Cosmology is derived for all these models and cosmological solutions are obtained thanks to the existence of Noether symmetries. The Hartle criterion allows the interpretation of solutions in view of observable universes.
