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arXiv · 0805.3978

Horizons in Robinson-Trautman space-times

W. Natorf·J. Tafel
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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.

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W. Natorf, J. Tafel. 2008-07-18. Horizons in Robinson-Trautman space-times. https://doi.org/10.1088/0264-9381%2F25%2F19%2F195012

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