论文标题
固定空间中的旅行时间断层扫描
Travel time tomography in stationary spacetimes
论文作者
论文摘要
在本文中，我们考虑了$ \ mathbb r^{1+n} $，$ n \ geq 2 $中的圆柱域上的边界刚度问题，配备了固定（时间不变）lorentzian指标。我们表明，假设公制能够满足某些A-Priori条件，则表明圆柱域边界上的一对点之间的时间分离函数决定了静止的时空，直到某些时间不变的差异性。
In this paper, we consider the boundary rigidity problem on a cylindrical domain in $\mathbb R^{1+n}$, $n\geq 2$, equipped with a stationary (time-invariant) Lorentzian metric. We show that the time separation function between pairs of points on the boundary of the cylindrical domain determines the stationary spacetime, up to some time-invariant diffeomorphism, assuming that the metric satisfies some a-priori conditions.
