论文标题
riemann张量的速度宇宙学带有立方收缩
Tachyonic cosmology with cubic contractions of the Riemann tensor
论文作者
论文摘要
在修饰的重力理论的理论框架中提出了一种新的宇宙学理论，该理论基于速旋场非最少的速度场与特定的拓扑不变式，该拓扑不变构成，该拓扑不变构成了Riemann Tensor的三阶收缩。在提出了宇宙学模型的作用之后，获得了修改后的弗里德曼关系和klein-gordon方程，描述了对爱因斯坦 - 希尔伯特作用的相应几何校正。在几何耦合项的指数函数的情况下，通过采用动力学系统分析来研究宇宙系统的物理特征。调查表明，宇宙系统可以解释宇宙的当前加速膨胀，而物质主导了时期，显示了与我们宇宙最近历史的高兼容性，这些历史对于耦合系数的各种值。
A new cosmological theory is proposed in the theoretical framework of modified gravity theories which is based on a tachyonic field non-minimally coupled with a specific topological invariant constructed with third order contractions of the Riemann tensor. After proposing the action of the cosmological model, the modified Friedmann relations and the Klein-Gordon equations are obtained, describing the corresponding geometrical corrections to the Einstein-Hilbert action. The physical features of the cosmological system are investigated by adopting the dynamical system analysis in the case of an exponential function for the geometrical coupling term. The investigation revealed that the cosmological system can explain the current accelerated expansion of the Universe and the matter dominated epoch, showing a high compatibility to the recent history of our Universe for various values of the coupling coefficients.
