Physics
Scientific paper
Apr 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18l..53c&link_type=abstract
Classical and Quantum Gravity, Volume 18, Issue 7, pp. L53-L59 (2001).
Physics
Scientific paper
A simple nonlinear algorithm is derived for approximate imaging of the spatial three-dimensional distribution of all the tensors and scalars of general relativity within a finite volume of a stationary universe from photon delay time data on its boundary. These correspond to curved photon trajectories through the volume with a large number of source and receiver positions on its boundary. The algorithm can produce approximate snapshots of a slowly varying universe and it is the first approximate solution of the inverse problem of general relativity. A numerical reconstruction with partial and noisy simulated data is presented.
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