论文标题
万神殿对宇宙超新星数据独立于模型的分析的更新
Pantheon update on a model-independent analysis of cosmological supernova data
论文作者
论文摘要
我们介绍了我们以前的工作的更新,这是由于可用的数据集可用而需要的。这项工作是对宇宙超新星(类型IA)数据的模型独立的分析,其中功能系列以亮度距离作为红移的函数的形式适合数据,即$ d_ {l}(z)$;随后,比例函数$ a(t)$的时间衍生物是$ ranciplation $衍生的,但作为$ z $的函数,而无需对重力或宇宙内容的假设进行假设。这给出了,例如宇宙从减速到加速度的红移值,为$ z_ {t} = 0.54 \ pm 0.04 $对于平坦的宇宙。在更新中,我们切换到更现代的拟合标准,还考虑了SNIA Luminosities校准的不确定性。 如果假定重力理论$,我们的结果允许确定宇宙的密度为$ z $的功能,从中可以得出关于宇宙内容的结论。我们更新了先前的工作结果,其中为爱因斯坦重力做到了这一点,在深色能量分数上找到了较低的限制,$ω_{de}> 0.46 $;在这里,我们也为Starobinsky Gravity做到这一点,在那里我们可以找到可以消除对暗能量的需求的Starobinsky参数。
We present an update of our previous work, necessitated by availability of a significantly improved dataset. The work is a model-independent analysis of the cosmological supernova (Type Ia) data, where function families are fit to the data in form of luminosity distance as function of redshift, that is, $d_{L}(z)$; and subsequently time-derivatives of the scale function $a(t)$ are $analytically$ derived, but as functions of $z$, without making assumptions about of gravity or the contents of the universe. This gives, e.g. the redshift value at which the universe goes over from deceleration to acceleration, as $z_{t}=0.54 \pm 0.04$ for a flat universe. In the update, we switch to a more modern fit criterion and also take into account the uncertainty in the calibration of the SNIa luminosities. If a theory of gravity $is$ assumed, our results allow determination of the density of the universe as function of $z$, from which conclusions about the contents of the universe can be drawn. We update the previous work's result where this was done for Einstein gravity, finding a lower-limit on the dark energy fraction, $Ω_{DE}>0.46$; and here we do this also for Starobinsky gravity, where we can find a Starobinsky parameter that can eliminate the need for dark energy.