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arXiv 2008.003472020-08-01math.APmath-phmath.DGmath.MP

Travel time tomography in stationary spacetimes

Gunther Uhlmann, Yang Yang, Hanming Zhou

备注：: 20 pages; Comments are welcome

英文摘要：

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.

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