论文标题
FRW弦乐宇宙学通过Hojman对称性
FRW string cosmological solutions via Hojman symmetry
论文作者
论文摘要
在本文中，我们使用Hojman对称方法找到了FRW宇宙学的精确弦宇宙学解决方案。所考虑的字符串宇宙学包括带有潜在$ W（ψ）$的标量字段$ψ（t）$，以及完全反对的场强度$ h_ {μνρ} $，该$ h_ {μνρ} $是根据比例因子$ a（t）$专门定义的。我们表明，对于此字符串宇宙学，使用hojman保守的数量使用了该量子的数量，该量子的尺度因子和标量因子的新精确解决方案对于特定电位$ W（ψ）$具有一些免费参数。这些参数的存在以及由Hojman对称性引起的参数，是一个重要的优势，使用该参数可以构建解决方案$ a（t）$和$ψ（t）$具有多种宇宙学行为。
In this paper, we find exact string cosmological solutions for FRW cosmology, by using Hojman symmetry approach. The string cosmology under consideration includes a scalar field $ψ(t)$ with the potential $W(ψ)$, and a totally antisymmetric field strength $H_{μνρ}$ which is specifically defined in terms of the scale factor $a(t)$. We show that for this string cosmology, Hojman conserved quantities exist using which new exact solutions for the scale factor and the scalar field are obtained for specific potentials $W(ψ)$ with some free parameters. The presence of these parameters, together with those of arising from Hojman symmetry, is an important advantage using which one can construct the solutions $a(t)$ and $ψ(t)$ with variety of cosmological behaviors.
