论文标题
非零曲率的双曲线通货膨胀模型
Hyperbolic inflationary model with nonzero curvature
论文作者
论文摘要
我们考虑了一个宇宙学模型，该模型由称为双曲线膨胀的双曲平面中定义的两个标量场组成。对于背景空间，我们认为具有非零曲率的均匀和各向同性时空。我们研究解决方案的渐近行为，并在不断扩大的制度中寻找吸引子。我们证明，双曲线通货膨胀阶段是稳定的解决方案，可以解决平面度问题并描述开放式和封闭模型的加速度，此外，我们还为开放模型获得了类似Milne的吸引者解决方案。我们还调查了以相反的动力学行为获得镜像解决方案的缩合分支。
We consider a cosmological model consisting of two scalar fields defined in the hyperbolic plane known as hyperbolic inflation. For the background space, we consider a homogeneous and isotropic spacetime with nonzero curvature. We study the asymptotic behaviour of solutions and we search for attractors in the expanding regime. We prove that two hyperbolic inflationary stages are stable solutions that can solve the flatness problem and describe acceleration for both open and closed models, and additionally we obtain a Milne-like attractor solution for the open model. We also investigate the contracting branch obtaining mirror solutions with the opposite dynamical behaviours.
