标题： 精确共形标量场宇宙学 显示英文标题

标题： Exact Conformal Scalar Field Cosmologies

摘要： 本文推导了爱因斯坦引力与自相互作用共形标量场耦合的新精确解。 我们的方法扩展了Bekenstein最初为无质量共形标量场引入的解生成技术。 对于零曲率和非零曲率的情况，都得到了弗里德曼-罗伯逊-沃克几何的解，并发现了各种有趣的特性。 结果显示，一类解在渐近情况下趋向于幂律膨胀行为$S(t)\sim t^p$ ，其中 $p>1$，而另一类解则在晚期趋向于无碰撞模型的$S(t)\sim t$行为。 还得到了避免初始奇点的反弹模型。 提供了对渐近行为以及膨胀可能性的一般讨论。 显示英文摘要

摘要： New exact solutions of Einstein's gravity coupled to a self-interacting conformal scalar field are derived in this work. Our approach extends a solution-generating technique originally introduced by Bekenstein for massless conformal scalar fields. Solutions are obtained for a Friedmann-Robertson-Walker geometry both for the cases of zero and non-zero curvatures, and a variety of interesting features are found. It is shown that one class of solutions tends asymptotically to a power-law inflationary behaviour $S(t)\sim t^p$ with $p>1$, while another class exhibits a late time approach to the $S(t)\sim t$ behaviour of the coasting models. Bouncing models which avoid an initial singularity are also obtained. A general discussion of the asymptotic behaviour and of the possibility of occurrence of inflation is provided.