PIRSA:11040078 Scientific Series Strong Gravity

DOI10.48660/11040078

Series: Strong Gravity

Nolan, B. (2011). Cauchy horizon (in)stability in spherically symmetric self-similar gravitational collapse.. Perimeter Institute. https://pirsa.org/11040078

Nolan, Brien. Cauchy horizon (in)stability in spherically symmetric self-similar gravitational collapse.. Perimeter Institute, Apr. 07, 2011, https://pirsa.org/11040078 

@misc{ pirsa_PIRSA:11040078,
  doi = {10.48660/11040078},
  url = {https://pirsa.org/11040078},
  author = {Nolan, Brien},
  keywords = {Strong Gravity},
  language = {en},
  title = {Cauchy horizon (in)stability in spherically symmetric self-similar gravitational collapse.},
  publisher = {Perimeter Institute},
  year = {2011},
  month = {apr},
  note = {PIRSA:11040078 see, \url{https://pirsa.org}}
}

Abstract

Various self-similar spherically symmetric spacetimes admit naked singularities, providing a challenge to the cosmic censorship hypothesis. However, it is not clear if the naked singularities are artefacts of the high degree of symmetry of the spacetimes, or if they are potentially generically present. To address this question, we consider perturbations of (various cases of) these spacetimes, focusing particularly on the behaviour of the perturbations as they impinge on the Cauchy horizon. We describe recent results on self-similar Lemaitre-Tolman-Bondi spacetime, indicating stability of scalar and odd parity perturbations, and instability of even parity perturbations.

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