论文标题
宇宙学可观察的不变性
Disformal invariance of cosmological observables
论文作者
论文摘要
我们研究了宇宙学观察到的框架依赖性/独立性在异常转化下，扩展了有关保形转换的先前结果，并提供了约旦框架和爱因斯坦 - 框架变量之间的对应关系。我们考虑诸如牛顿极限，红移，光度和角直径距离的重力常数以及距离二元性关系之类的数量。同样，讨论了玻尔兹曼方程，观察到的特定强度和绝热条件。由于电磁作用在异常转化下发生了变化，因此爱因斯坦框架中的光子不再沿着无效的测量学传播。结果，修改了数量的宇宙学兴趣。然而，我们表明红移是不变的，并且距离划分关系（光度距离与角直径距离之间的关系）在一般时间段内仍然存在，即使互惠关系（两个几何距离之间的关系）已修改。
We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and Einstein-frame variables. We consider quantities such as the gravitational constant in the Newtonian limit, redshift, luminosity and angular diameter distances, as well as the distance-duality relation. Also, the Boltzmann equation, the observed specific intensity, and the adiabaticity condition are discussed. Since the electromagnetic action changes under disformal transformations, photons in the Einstein frame no longer propagate along null geodesics. As a result, several quantities of cosmological interest are modified. Nevertheless, we show that the redshift is invariant and the distance-duality relation (the relation between the luminosity distance and the angular diameter distance) still holds in general spacetimes even though the reciprocity relation (the relation between two geometrical distances) is modified.
