A numerical study of Penrose-like inequalities in a family of axially symmetric initial data

Details A numerical study of Penrose-like inequalities in a family of axially symmetric initial data A numerical study of Penrose-like inequalities in a family of axially symmetric initial data

2007-12-11

arxiv.org/abs/0712.1741v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to the "Encuentros Relativistas Espanoles - Spanish Relativity Meeting ERE07" Proceedings, Tenerife, Spain (Septe

Scientific paper

10.1051/eas:0830039

Our current picture of black hole gravitational collapse relies on two assumptions: i) the resulting singularity is hidden behind an event horizon -- weak cosmic censorship conjecture -- and ii) spacetime eventually settles down to a stationarity state. In this setting, it follows that the minimal area containing an apparent horizon is bound by the square of the total ADM mass (Penrose inequality conjecture). Following Dain et al. 2002, we construct numerically a family of axisymmetric initial data with one or several marginally trapped surfaces. Penrose and related geometric inequalities are discused for these data. As a by-product, it is shown how Penrose inequality can be used as a diagnosis for an apparent horizon finder numerical routine.

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