Travel Time Tomography in Stationary Spacetimes

• DOI: 10.1007/s12220-021-00620-5
• Publication Date: 2021-02-23T06:11:54Z
• Authors: Gunther Uhlmann; Yang Yang; Hanming Zhou
• Keywords: Diffeomorphism

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.<br/>20 pages; Comments are welcome<br/>