Travel time tomography in stationary spacetimes

Abstract: In this talk, I will discuss 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 is close to the Minkowski metric, and satisfies some a-priori conditions. The talk is based on joint work with Gunther Uhlmann (UW) and Yang Yang (MSU).

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine