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首页> 外文期刊>The Astrophysical journal >ANALYTIC TIME DELAYS AND H. ESTIMATES FOR GRAVITATIONAL LENSES
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ANALYTIC TIME DELAYS AND H. ESTIMATES FOR GRAVITATIONAL LENSES

机译：重力透镜的分析时间延迟和H.估计

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We study gravitational lens time delays for a general family of 1ensing potentials, which includes the popular singular isothermal elliptical potential and singular isothermal elliptical density distribution but allows general angular structure. Using a novel approach, we show that the time delay can be cast in a very simple form, depending only on the observed image positions. Including an external shear changes the time delay in proportion to the shear strength, and varying the radial profile of the potential changes the time delay approximately linearly. These analytic results can be used to obtain simple estimates of the time delay and the Hubble constant in observed gravitational lenses. The naive estimates for four of five time delay lenses show surprising agreement with each other and with local measurements of Ho' the complicated Q0957+ 561 system is the only outlier. The agreement suggests that it is reasonable to use simple isothermal lens models to infer Ho, although it is still important to check this conclusion by examining detailed models and by measuring more lensing time delays.
机译：我们研究了一般1ensing电位家族的引力透镜时延，其中包括流行的奇异等温椭圆形电位和奇异等温椭圆形密度分布，但允许一般的角度结构。使用一种新颖的方法，我们表明可以仅根据观察到的图像位置以非常简单的形式投射时间延迟。包括外部剪切在内的时间延迟与剪切强度成正比，而改变电位的径向分布会大致线性地更改时间延迟。这些分析结果可用于获得所观察到的引力透镜中的时间延迟和哈勃常数的简单估计。 5个延时镜头中有4个的天真估计显示出令人惊讶的一致性，并且与Ho'的局部测量结果相比，复杂的Q0957 + 561系统是唯一的异常值。该协议表明，使用简单的等温透镜模型来推断Ho是合理的，尽管通过检查详细的模型并测量更多的透镜延迟时间来检验该结论仍然很重要。

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