论文标题
静态球形对称空间的通用时间延迟，用于零和及时信号
Universal time delay in static spherically symmetric spacetimes for null and timelike signals
论文作者
论文摘要
提出了一种在弱场限制下，在任意静态球形对称的空间中计算NULL和LIGHTILE RASE的总行进时间的扰动方法。最终的总时间采取了影响参数的准系列形式。该系列以一定顺序的$ n $的系数的系数显示，是由公制函数渐近扩展到$ n+1 $的渐近扩展确定的。在领先顺序上，时间延迟以及两种相对论信号的时间延迟之间的差异被证明是所有SSS空间的通用形式。这种通用形式取决于时空的质量$ m $和牛顿后参数$γ$。分析结果使用M87的中央黑洞作为重力透镜中心进行数值验证。
A perturbative method to compute the total travel time of both null and lightlike rays in arbitrary static spherically symmetric spacetimes in the weak field limit is proposed. The resultant total time takes a quasi-series form of the impact parameter. The coefficient of this series at a certain order $n$ is shown to be determined by the asymptotic expansion of the metric functions to the order $n+1$. To the leading order(s), the time delay, as well as the difference between the time delays of two kinds of relativistic signals, is then shown to take a universal form for all SSS spacetimes. This universal form depends on the mass $M$ and a post-Newtonian parameter $γ$ of the spacetime. The analytical result is numerically verified using the central black hole of M87 as the gravitational lensing center.
