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arXiv · 0912.4067

The dynamics of apparent horizons in Robinson-Trautman spacetimes

H. P. de Oliveira·E. L. Rodrigues·I. Damião Soares
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Abstract

We present an alternative scheme of finding apparent horizons based on spectral methods applied to Robinson-Trautman spacetimes. We have considered distinct initial data such as representing the spheroids of matter and the head-on collision of two non-rotating black holes. The evolution of the apparent horizon is presented. We have obtained in some cases a mass gap between the final Bondi and apparent horizon masses, whose implications were briefly commented in the light of the thermodynamics of black holes.

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H. P. de Oliveira, E. L. Rodrigues, I. Damião Soares. 2009-12-21. The dynamics of apparent horizons in Robinson-Trautman spacetimes. https://doi.org/10.1007/s13538-011-0036-z

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