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arXiv · 1907.02210

The Light Ray transform on Lorentzian manifolds

Matti Lassas·Lauri Oksanen·Plamen Stefanov·Gunther Uhlmann
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Abstract

We study the weighted light ray transform $L$ of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze $L$ as a Fourier Integral Operator and show that if there are no conjugate points, one can recover the spacelike singularities of a function $f$ from its the weighted light ray transform $Lf$ by a suitable filtered back-projection.

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Matti Lassas, Lauri Oksanen, Plamen Stefanov, Gunther Uhlmann. 2019-07-04. The Light Ray transform on Lorentzian manifolds. https://doi.org/10.1007/s00220-020-03703-6

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