On the inverse problem of finding cosmic strings and other topological defects
arXiv:1505.03123
Abstract
We consider how microlocal methods developed for tomographic problems can be used to detect singularities of the Lorentzian metric of the Universe using measurements of the Cosmic Microwave Background radiation. The physical model we study is mathematically rigorous but highly idealized.
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- An Inverse Problem for the Relativistic Boltzmann Equation
- A uniqueness result for light ray transform on symmetric 2-tensor fields
- Some integral geometry problems for wave equations
- Travel time tomography in stationary spacetimes
- On the light ray transform of wave equation solutions
- Scattering rigidity for standard stationary manifolds via timelike geodesics