The dynamics of apparent horizons in Robinson-Trautman spacetimes

Details The dynamics of apparent horizons in Robinson-Trautman spacetimes The dynamics of apparent horizons in Robinson-Trautman spacetimes

2009-12-21

arxiv.org/abs/0912.4067v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 7 figures

Scientific paper

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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