The Light Ray transform on Lorentzian manifolds
arXiv:1907.02210 · doi:10.1007/s00220-020-03703-6
Abstract
We study the weighted light ray transform of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze as a Fourier Integral Operator and show that if there are no conjugate points, one can recover the spacelike singularities of a function from its the weighted light ray transform by a suitable filtered back-projection.