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arXiv · 2404.15541

Boundary determination and local rigidity of analytic metrics in the Lorentzian scattering rigidity problem

Plamen Stefanov
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Abstract

We study the scattering rigidity problem in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral timelike boundary. We show that one can recover the jet of the metric up to a gauge transformation near a lightlike strictly convex point. Assuming that the metric is real analytic, we show that one can recover the metric up to a gauge transformation as well near such a point.

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Plamen Stefanov. 2024-04-23. Boundary determination and local rigidity of analytic metrics in the Lorentzian scattering rigidity problem. https://arxiv.org/abs/2404.15541

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