标题： 从矢量场产生的经典反弹宇宙 显示英文标题

标题： Classical bouncing Universes from vector fields

摘要： 在广义相对论框架下，充满无质量矢量场的各向异性宇宙中，我们得到了其中一个标度因子的反弹解。我们得到一个具有有限最大能量密度、$R,R^{\mu\nu}R_{\mu\nu},R^{\mu\nu\alpha\beta}R_{\mu\nu\alpha\beta}$的有限值以及矢量场垂直方向标度因子非零值的宇宙。对于具有动能初始条件的有质量矢量场，也可以得到这种反弹，这给出了各向同性的低能极限。我们讨论了在额外物质场（如宇宙常数或尘埃）存在的情况下，无质量矢量场的反弹存在性。我们还讨论了在$n+2$维时空中无质量矢量场主导的反弹解。 显示英文摘要

摘要： For the anisotropic Universe filled with massless vector field in the General Relativity frame we obtain bouncing solution for one of scale factors. We obtain the Universe with finite maximal energy density, finite value of $R,R^{\mu\nu}R_{\mu\nu},R^{\mu\nu\alpha\beta}R_{\mu\nu\alpha\beta}$ and non-zero value of a scale factor for directions transverse to a vector field. Such a bounce can be also obtained for a massive vector field with kinetic initial conditions, which gives isotropic low energy limit. We discuss the existence of a bounce for a massless vector field with additional matter fields, such as cosmological constant or dust. We also discuss bouncing solution for massless vector field domination in $n+2$ dimensional space-time.