宇宙学模型的几何检验。II。旋转宽度和圆盘缩放关系的校准
Geometrical tests of cosmological models. II. Calibration of rotational widths and disc scaling relations
摘要：
这一系列的论文致力于一种新的技术来选择星系，可以作为标准杆和标准蜡烛，以进行几何测试的大样本的高红移星系约束不同的宇宙学参数。本文的目的是（1）比较不同的自转指标，以了解从Halalpha线和[OII]3727线的观测中提取的自转速度之间的关系;（2）利用SFI++，一个在I波段观测的大型邻近星系表，确定星系的物理大小、表面亮度和星等与它们的自转速度之间的标度关系。一个很好的相关性之间观察到的旋转曲线导出的速度的Halpha和[OII]的意见，以及从速度直方图计算，证明直接比较的速度测量从Halpha旋转曲线在附近的星系和从[OII]线宽在较高的红移。为了给几何检验提供定标，我们给出了星系性质（大小、表面亮度、星等）与其自转速度之间的不同标度关系的表达式。除了Tully-Fisher关系，我们推导出的尺寸旋转速度和表面亮度旋转速度的关系与前所未有的小散射。我们展示了如何获得最佳的尺寸旋转速度的关系时，尺寸估计不是从光盘规模的长度，但从等照度线直径r23.5，一旦这些已被纠正的倾斜和消光效应。
英文摘要：
This series of papers is dedicated to a new technique to select galaxies that can act as standard rods and standard candles in order to perform geometrical tests on large samples of high redshift galaxies to constrain different cosmological parameters. The goals of this paper are (1) to compare different rotation indicators in order to understand the relation between rotation velocities extracted from observations of the Halpha line and the [OII]3727 line, and (2) determine the scaling relations between physical size, surface brightness and magnitude of galaxies and their rotation velocity using the SFI++, a large catalog of nearby galaxies observed at I-band. A good correlation is observed between the rotation curve-derived velocities of the Halpha and [OII] observations, as well as between those calculated from velocity histograms, justifying the direct comparison of velocities measured from Halpha rotation curves in nearby galaxies and from [OII] line widths at higher redshifts. To provide calibration for the geometrical tests, we give expressions for the different scaling relations between properties of galaxies (size, surface brightness, magnitude) and their rotation speeds. Apart from the Tully-Fisher relation, we derive the size-rotation velocity and surface brightness-rotation velocity relations with unprecedentedly small scatters. We show how the best size-rotation velocity relation is derived when size is estimated not from disc scale lengths but from the isophotal diameter r23.5, once these have been corrected for inclination and extinction effects.
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