论文标题
作为几何伪影的积极宇宙常数
A positive cosmological constant as a geometrical artifact
论文作者
论文摘要
我们重新审视通过Kaluza-Klein紧凑型产生$ d- $维空间的经典机制。我们假设$ \ left（d+1 \右） - $尺寸散装几何$ \ nathcal {m} $接纳了同一个矢量field（hvf）$ \ m athbf {h} $放松零的存在，即零的$ \ mathbf { bivector $ f_ {ab}（\ mathbf {h}）= 0 $。在这种情况下，我们确定了$ d- $尺寸时空中正宇宙常数的起源，它是代表$ \ left（d+1 \右）的较晚时间状态的几何伪像的同构因子 - $ dimensional bulk SpaceTime。
We revisit the classical mechanism to produce $d-$dimensional spacetimes via Kaluza-Klein compactification. We made the assumption that the $\left(d+1\right) -$dimensional bulk geometry $\mathcal{M}$ admits a Homothetic Vector Field (HVF) $\mathbf{H}$ relaxing the existence of a zero i.e. $\mathbf{H}\neq 0$ holds on $\mathcal{M}$ and the homothetic bivector $F_{ab}(\mathbf{H})=0$. Under these circumstances we identify the origin of a positive cosmological constant in the $d-$dimensional spacetime as the homothetic factor representing a geometrical artifact of late time state of the $\left( d+1\right) -$dimensional bulk spacetime.
