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A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes II

Dan Gorbonos·Gershon Wolansky
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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.

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Dan Gorbonos, Gershon Wolansky. 2006-12-27. A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes II. https://doi.org/10.1063/1.2779949

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