Capozziello Salvatore, Dialektopoulos Konstantinos F, Sushkov Sergey V
1Dipartimento di Fisica "E. Pancini", Universitá di Napoli "Federico II", Naples, Italy.
2Gran Sasso Science Institute, Via F. Crispi 7, 67100 L'Aquila, Italy.
Eur Phys J C Part Fields. 2018;78(6):447. doi: 10.1140/epjc/s10052-018-5939-1. Epub 2018 Jun 5.
Adopting Noether point symmetries, we classify and integrate dynamical systems coming from Horndeski cosmologies. The method is particularly effective both to select the form of Horndeski models and to derive exact cosmological solutions. Starting from the Lagrangians selected by the Noether symmetries, it is possible to derive several modified theories of gravity like () gravity, Brans-Dicke gravity, string inspired gravity and so on. In any case, exact solutions are found out.
采用诺特定点对称性,我们对源自霍恩德斯基宇宙学的动力学系统进行分类和积分。该方法在选择霍恩德斯基模型的形式以及推导精确的宇宙学解方面都特别有效。从由诺特对称性选择的拉格朗日量出发,可以推导出几种修正的引力理论,如()引力、布兰斯 - 迪克引力、弦启发引力等等。无论如何,都能找到精确解。