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The existence theorem for the general relativistic Cauchy problem on the light-cone

General Relativity and Quantum Cosmology 2012-09-11 v1 Analysis of PDEs
Authors: Piotr T. Chruściel
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Abstract

We prove existence of solutions of the vacuum Einstein equations with initial data induced by a smooth metric on a light-cone.

Keywords

existence theorem general relativistic Cauchy problem light-cone vacuum Einstein equations initial data

Cite

@article{arxiv.1209.1971,
  title  = {The existence theorem for the general relativistic Cauchy problem on the light-cone},
  author = {Piotr T. Chruściel},
  journal= {arXiv preprint arXiv:1209.1971},
  year   = {2012}
}

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