English

Horizons in Robinson-Trautman space-times

General Relativity and Quantum Cosmology 2008-11-26 v2

Abstract

The past quasi-local horizons in vacuum Robinson-Trautman spacetimes are described. The case of a null (non-expanding) horizon is discussed. It is shown that the only Robinson-Trautman space-time admitting such a horizon with sections diffeomorphic to S_2 is the Schwarzschild space-time. Weakening this condition leads to the horizons of the C-metric. Properties of the hypersurface r=2m for finite retarded time u are examined.

Keywords

Cite

@article{arxiv.0805.3978,
  title  = {Horizons in Robinson-Trautman space-times},
  author = {W. Natorf and J. Tafel},
  journal= {arXiv preprint arXiv:0805.3978},
  year   = {2008}
}

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