We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed angle. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for 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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Sebastián Muñoz-Thon (2024) studied this question.
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