膜世界中的k-本质和快子
k-essence and tachyons in brane-worlds
摘要：
研究了定域在膜上的k-本质场随宇宙学时间线性演化的任意动力学函数，并考虑了Friedmann-Robertson-Walker（FRW）宇宙学中线性和非线性k-场的非典型k-本质模型.在前一种情况下，k场由一个逆二次多项式势驱动，解表现出几种不同的行为，包括宇宙的膨胀、收缩和弹跳，以及一个有限时间跨度的模型，其中一些以大崩溃或大撕裂结束。在后一种情况下，我们发现的潜力，并表明，非典型的k-本质模型是动态不完整的。特别地，通过选取扩展的快子动力学函数，分析了模型的高、低能极限，得到了近似幂律解。我们引入了一个负能量密度的快子场，并证明了宇宙在两个奇点之间演化。
英文摘要：
We investigate a k-essence field localized on the brane evolving linearly with the cosmological time for arbitrary kinetic functions and consider the atypical k-essence model for linear and nonlinear k-fields in Friedmann-Robertson-Walker (FRW) cosmology. In the former case the k-field is driven by an inverse quadratic polynomial potential and the solutions exhibit several different behaviors which include expanding, contracting and bouncing universes as well as a model with a finite time span, some of them ending in a big crunch or a big rip. In the latter case we find the potential and show that the atypical k-essence model is dynamically uncomplete. Particularly, by selecting the extended tachyonic kinetic functions we analyze the high and low energy limits of our model, obtaining the nearly power law solution. We introduce a tachyon field with negative energy density and show that the universe evolves between two singularities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
