论文标题
缓慢收缩的鲁棒性和标量场电位的形状
The robustness of slow contraction and the shape of the scalar field potential
论文作者
论文摘要
我们使用数值相对性模拟来探索规范标量场$ ϕ $最小耦合到爱因斯坦重力的条件，从而产生缓慢收缩的扩展相位，从而使宇宙稳健地平滑宇宙，以便为广泛的初始条件范围，然后为优雅的出口设置条件。我们表明，要实现鲁棒性，就足够的是，潜在的$ V（ϕ）$为负和$ m _ {\ rm pl} | v _ {，ϕ}/v | \ gtrsim5 $在平滑阶段。我们还表明，要退出缓慢的收缩，电势必须具有最低限度。除了最小值之外，我们没有发现对上坡坡度的限制，包括以$ v _ {\ rm min}> 0 $结束积极的潜在高原或本地最小值的可能性。我们的研究建立了各种潜力的超阶层，这是稳健平滑和优雅退出的关键。
We use numerical relativity simulations to explore the conditions for a canonical scalar field $ϕ$ minimally coupled to Einstein gravity to generate an extended phase of slow contraction that robustly smooths the universe for a wide range of initial conditions and then sets the conditions for a graceful exit stage. We show that to achieve robustness it suffices that the potential $V(ϕ)$ is negative and $M_{\rm Pl}|V_{,ϕ}/V|\gtrsim5$ during the smoothing phase. We also show that, to exit slow contraction, the potential must have a minimum. Beyond the minimum, we find no constraint on the uphill slope including the possibility of ending on a positive potential plateau or a local minimum with $V_{\rm min}>0$. Our study establishes ultralocality for a wide range of potentials as a key both to robust smoothing and to graceful exit.
