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Simplified mathematical model for the formation of null singularities inside black holes : II. Proof for a particular case

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2007

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Wolansky, Gershon

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https://doi.org/10.1063/1.2779949
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http://arxiv.org/abs/gr-qc/0612173

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Journal of Mathematical Physics. American Institute of Physics (AIP). 2007, 48(9), 092503. ISSN 0022-2488. eISSN 1089-7658. Available under: doi: 10.1063/1.2779949

Zusammenfassung

We study a simple system of two hyperbolic semilinear equations inspired by the Einstein equations. The system, which was introduced by Ori and Gorbonos [J. Math. Phys., 48, 092502 (2007)], 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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570 Biowissenschaften, Biologie

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ISO 690GORBONOS, Dan, Gershon WOLANSKY, 2007. Simplified mathematical model for the formation of null singularities inside black holes : II. Proof for a particular case. In: Journal of Mathematical Physics. American Institute of Physics (AIP). 2007, 48(9), 092503. ISSN 0022-2488. eISSN 1089-7658. Available under: doi: 10.1063/1.2779949
BibTex
@article{Gorbonos2007Simpl-51537,
  year={2007},
  doi={10.1063/1.2779949},
  title={Simplified mathematical model for the formation of null singularities inside black holes : II. Proof for a particular case},
  number={9},
  volume={48},
  issn={0022-2488},
  journal={Journal of Mathematical Physics},
  author={Gorbonos, Dan and Wolansky, Gershon},
  note={Article Number: 092503}
}
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