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Bounds for axially symmetric linear perturbations for the extreme Kerr black hole

General Relativity and Quantum Cosmology 2015-06-17 v1 Mathematical Physics math.MP

Abstract

We obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduce pointwise bounds for the perturbations outside the horizon.

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Cite

@article{arxiv.1501.03846,
  title  = {Bounds for axially symmetric linear perturbations for the extreme Kerr black hole},
  author = {Sergio Dain and Ivan Gentile de Austria},
  journal= {arXiv preprint arXiv:1501.03846},
  year   = {2015}
}

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15 pages