Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-04-20
Phys.Rev. D68 (2003) 024011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
28 pages, 25 figures. Version with non-bitmapped figures can be found at http://www.maths.soton.ac.uk/staff/Martin-Garcia/crit
Scientific paper
10.1103/PhysRevD.68.024011
At the threshold of black hole formation in the gravitational collapse of a scalar field a naked singularity is formed through a universal critical solution that is discretely self-similar. We study the global spacetime structure of this solution. It is spherically symmetric, discretely self-similar, regular at the center to the past of the singularity, and regular at the past lightcone of the singularity. At the future lightcone of the singularity, which is also a Cauchy horizon, the curvature is finite and continuous but not differentiable. To the future of the Cauchy horizon the solution is not unique, but depends on a free function (the null data coming out of the naked singularity). There is a unique continuation with a regular center (which is self-similar). All other self-similar continuations have a central timelike singularity with negative mass.
Gundlach Carsten
Martin-Garcia Jose M.
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