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arXiv · 2404.09449

Scattering rigidity for standard stationary manifolds via timelike geodesics

Sebastián Muñoz-Thon
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Abstract

We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for $\mathcal{MP}$-systems, a problem studied before. This gives several new rigidity results (up to some gauge) for this kind of Lorentzian manifolds.

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BibTeXRIS

Sebastián Muñoz-Thon. 2024-04-15. Scattering rigidity for standard stationary manifolds via timelike geodesics. https://doi.org/10.1088/1361-6544/ae1ac0

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