论文标题
Brane宇宙学带有可变张力
Brane cosmology with variable tension
论文作者
论文摘要
我们研究了Brane-World模型，并证明了此类模型不通过物质相关方法接受自相似的解决方案。通过在最简单的情况（对称嵌入）中概述了可变的brane张力的假设，$λ，$，我们概述了新的有效场方程（EFE），假设5D中的基本常数是常数。在这种情况下，我们发现每个物理数量可能要采取的确切形式，以使EFE在比例转换下变不变。通过考虑到这样的假设，我们发现在4D中，引力常数$κ^{2} \厚λ$，而宇宙常数$λ\厚度λ^{2} $总是在减少。这些结果对于任何均匀的自相似指标都是相当一般的，有效的。然而，规模对称性中的EFE的研究表明$ρ\厚λ$（作为功能关系）。这样可以得到增长的$κ^{2} $，但是在这种情况下，5D中的基本常数也必须有所不同。我们概述了一个允许这种可能性的玩具模型。
We study brane-world models and demonstrate that such models do not admit self-similar solutions through the matter collineation approach. By introducing the hypothesis of variable brane tension, $λ,$ we outline the new effective field equation (EFE) in the most simple case (symmetric embedding) under the assumption that the fundamental constants in 5D are constants. In this case, we find the exact form that each physical quantity may take in order that the EFE become invariant under scale transformations. By taking into account such assumptions, we find that in 4D, the gravitational constant $κ^{2}\thicksimλ$ while the cosmological constant $Λ\thicksimλ^{2}$ are always decreasing. These results are quite general and valid for any homogeneous self-similar metric. Nevertheless, the study of the EFE under scale symmetries suggests that $ρ\thicksimλ$ (as a functional relationship). This allows to get a growing $κ^{2}$ but, in this case, the fundamental constants in 5D must vary as well. We outline a toy model allowing such a possibility.
