On the inverse problem of finding cosmic strings and other topological defects. (English) Zbl 1391.83144
The authors study the detection of singularities of the Lorentzian metric measuring the Cosmic Microwave Background (CMB) radiation. The characterization of visible singularities via microlocal analysis of the geodesic ray is obtained. The inverse problem for the CMB measurements is formulated. The parametrization of the CMB measurements is given. The reduction of the linearized problem to inversion of the light ray transform is considered. The light ray transform in a translation invariant case is studied.
Reviewer: Vladimir Dzhunushaliev (Almaty)
MSC:
| 83F05 | Relativistic cosmology |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 85A25 | Radiative transfer in astronomy and astrophysics |
| 83E30 | String and superstring theories in gravitational theory |
| 83C10 | Equations of motion in general relativity and gravitational theory |
Keywords:
inverse problem; singularity; cosmic string; cosmic microwave background radiation; geodesic rayReferences:
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