Travel time tomography in stationary spacetimes

Abstract

In this paper, we consider the boundary rigidity problem on a cylindrical domain in ${\mathbb{R}}^{1+n}$, $n\ge 2$, 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.

20 pages; Comments are welcome

References in corpus (1)

• On the inverse problem of finding cosmic strings and other topological defects

Cited by in corpus (1)

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