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

Understand

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.