A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes II
arXiv:gr-qc/0612173 · doi:10.1063/1.2779949
Abstract
We study a simple system of two hyperbolic semi-linear equations, inspired by the Einstein equations. The system, which was introduced in gr-qc/0612136, is a model for singularity formation inside black holes. We show for a particular case of the equations that the system demonstrates a finite time blowup. The singularity that is formed is a null singularity. Then we show that in this particular case the singularity has features that are analogous to known features of models of black-hole interiors - which describe the inner-horizon instability. Our simple system may provide insight into the formation of null singularities inside spinning or charged black holes.
25 pages, 10 figures
References in corpus (1)
Cited by in corpus (6)
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- Asymptotics and singularities in cosmological models with positive cosmological constant
- A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes I - Basic Formulation and a Conjecture