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On the Inverse Problem of Finding Cosmic Strings and Other Topological Defects

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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, Box 68, Helsinki, 00014, Finland

    Matti Lassas & Gunther Uhlmann

  2. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    Lauri Oksanen

  3. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Plamen Stefanov

  4. Department of Mathematics, University of Washington, Box 354350, Seattle,Washington, 98195, USA

    Gunther Uhlmann

  5. Institute for Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China

    Gunther Uhlmann

Authors
  1. Matti Lassas
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  2. Lauri Oksanen
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  3. Plamen Stefanov
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  4. Gunther Uhlmann
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Correspondence to Gunther Uhlmann.

Additional information

Communicated by S. Zelditch

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Lassas, M., Oksanen, L., Stefanov, P. et al. On the Inverse Problem of Finding Cosmic Strings and Other Topological Defects. Commun. Math. Phys. 357, 569–595 (2018). https://doi.org/10.1007/s00220-017-3029-0

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  • DOI: https://doi.org/10.1007/s00220-017-3029-0

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