论文标题
时间延迟的宇宙解决方案
Cosmological solutions with time-delay
论文作者
论文摘要
我们在散装粘度宇宙学中引入了时间延迟功能。即使对于已知闭合溶液的散装粘度函数，由于时间延迟术语，精确的解会丢失。因此，为了研究所得模型的宇宙学演变，我们通过使用Lindstedt的方法对临界点的稳定性进行了详细分析，该临界点描述了Sitter溶液。我们发现，对于临界点的稳定性，它也取决于时间延迟参数，其中找到了临界时间延迟值，它起着分叉点的作用。对于接近临界值的时间延迟值，宇宙演化具有周期性的演变，这种振荡行为是由于时间延迟函数。我们在指数扩展点附近发现了一种新行为，这也可以看作是退出指数通货膨胀的另一种方法。
We introduce a time-delay function in bulk viscosity cosmology. Even for bulk viscosity functions where closed-form solutions are known, because of the time-delay term the exact solutions are lost. Therefore in order to study the cosmological evolution of the resulting models we perform a detail analysis of the stability of the critical points, which describe de Sitter solutions, by using Lindstedt's method. We find that for the stability of the critical points it depends also on the time-delay parameter, where a critical time-delay value is found which play the role of a bifurcation point. For time-delay values near to the critical value, the cosmological evolution has a periodic evolution, this oscillating behaviour is because of the time-delay function. We find a new behaviour near the exponential expansion point, which can be seen also as an alternative way to exit the exponential inflation.
