Horizons in Robinson-Trautman space-times
W. Natorf, J. Tafel
TL;DR
This paper investigates the properties of quasi-local horizons in vacuum Robinson-Trautman spacetimes, identifying conditions under which these horizons resemble those in Schwarzschild and C-metric solutions.
Contribution
It characterizes the horizons in Robinson-Trautman spacetimes, linking null horizons to Schwarzschild and C-metric solutions, and examines properties of specific hypersurfaces.
Findings
Only Schwarzschild admits a null, non-expanding horizon with S_2 sections.
Weakening conditions yields horizons similar to those in the C-metric.
Properties of the hypersurface r=2m at finite retarded time are analyzed.
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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