标题： 势能范围广泛的各向异性标量场宇宙学的动力学分析 显示英文标题

标题： Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials

摘要： 我们对各向异性标量场宇宙学进行了详细的动力学分析，特别是针对Kantowski-Sachs、局部旋转对称（LRS）Bianchi I和LRS Bianchi III这些最重要的情形。我们采用了$f$-分解器的新方法，这种方法使我们可以针对广泛的势能范围完成整个分析。因此，人们只需将特定的势能形式代入最终结果中，就可以得到相应的行为，而无需新的计算。我们发现了一种非常丰富的行为，其中包括宇宙可以演化出各向同性的解，其可观测量与观测结果一致，例如de Sitter解、类 quintessence 解或刚性暗能量解。特别是，所有膨胀、加速且稳定的吸引子都是各向同性的。此外，我们证明只要物质满足零能量条件，反弹行为是不可能发生的。最后，将一般结果应用于已充分研究的指数型势能和幂律势能时，我们发现一些一般稳定解消失了。这一特性可能表明这种简单的势能可能会限制标量场宇宙学中的动力学，从而为引入更复杂的势能打开了大门。 显示英文摘要

摘要： We perform a detailed dynamical analysis of anisotropic scalar-field cosmologies, and in particular of the most significant Kantowski-Sachs, Locally Rotationally Symmetric (LRS) Bianchi I and LRS Bianchi III cases. We follow the new and powerful method of $f$-devisers, which allows us to perform the whole analysis for a wide range of potentials. Thus, one can just substitute the specific potential form in the final results and obtain the corresponding behavior, without the need of new calculations. We find a very rich behavior, and amongst others the universe can result in isotropized solutions with observables in agreement with observations, such as de Sitter, quintessence-like, or stiff-dark energy solutions. In particular, all expanding, accelerating, stable attractors are isotropic. Additionally, we prove that as long as matter obeys the null energy condition, bounce behavior is impossible. Finally, applying the general results to the well-studied exponential and power-law potentials, we find that some of the general stable solutions disappear. This feature may be an indication that such simple potentials might restrict the dynamics in scalar-field cosmology, opening the way to the introduction of more complicated ones.