Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
2017 ◽
Vol 2019
(22)
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pp. 6949-6987
Keyword(s):
Abstract On a time-oriented Lorentzian manifold (M, g) with nonempty boundary satisfying a convexity assumption, we show that the topological, differentiable, and conformal structure of suitable subsets S ⊂ M of sources is uniquely determined by measurements of the intersection of future light cones from points in S with a fixed open subset of the boundary of M; here, light rays are reflected at ∂M according to Snell’s law. Our proof is constructive, and allows for interior conjugate points as well as multiply reflected and self-intersecting light cones.
2000 ◽
Vol 130
(1)
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pp. 189-215
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Keyword(s):
Keyword(s):
1968 ◽
Vol 36
(11)
◽
pp. 1001-1004
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1977 ◽
Vol 21
(6)
◽
pp. 464-466
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2018 ◽
Vol 143
◽
pp. 18-28
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