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.
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