标题： 静态宇宙中的类星体分布 显示英文标题

标题： The Quasar Distribution in a Static Universe

摘要： 任何宇宙学模型的关键测试之一是遥远天体（如类星体）的分布。 由于紫外过量（UVX）巡天具有明确的选择标准，由此发现的类星体是测试该模型直至红移 \(z = 2.2\) 的理想候选者。 Crawford（1993）提出的静态宇宙学模型被用来分析最近的一项类星体巡天（BOYLE等人，MNRAS 227, 717, 1990）。 结果显示，巡天中类星体数量随红移的变化分布与模型预测非常吻合。 对351个具有确定红移的确认类星体进行的 \(V/V_m\) 检验得到平均值为 \(0.568\pm 0.015\)，差异最可能归因于低红移时目录的不完整性。 在红移范围$1.5 < z < 2.2$中，宇宙学模型的准确性至关重要，此时 \(V/V_m\) 值为 \(0.51\pm 0.02\)。 得到了一个定义明确的类星体光度函数，其峰值位于 \(M_B = -21.16\) 星等，并且用绝对星等的高斯分布很好地拟合，标准差为 \(1.52\) 星等。 显示英文摘要

摘要： A crucial test of any cosmological model is the distribution of distant objects such as quasars. Because of well defined selection criteria quasars found by a ultraviolet excess (UVX) survey are ideal candidates for testing the model out to a redshift of z = 2.2. The static cosmology proposed by Crawford (1993) is used to analyse a recent quasar survey (BOYLE et al MNRAS 227, 717 1990). It is shown that the distribution of number of quasars from the survey as a function of redshift is in excellent agreement with the predictions of the model. A V/V_m test on 351 confirmed quasars with defined redshifts has a mean value of 0.568\pm 0.015 with the discrepancy being most likely due to incompleteness of the catalogue at low redshifts. For the redshift range $1.5 < z < 2.2$ where the accuracy of the cosmological model is critical V/V_m was 0.51 \pm 0.02. A well defined quasar luminosity function is derived that has a peak at M_B = -21.16 mag and is well fitted by a Gaussian distribution in absolute magnitude with a standard deviation of 1.52 magnitudes.