PIRSA:21090009 Scientific Series Strong Gravity

DOI10.48660/21090009

Series: Quantum Gravity

Sartini, F. (2021). Black Hole interior: Symmetries and regularization . Perimeter Institute. https://pirsa.org/21090009

Sartini, Francesco. Black Hole interior: Symmetries and regularization . Perimeter Institute, Sep. 09, 2021, https://pirsa.org/21090009 

@misc{ pirsa_PIRSA:21090009,
  doi = {10.48660/21090009},
  url = {https://pirsa.org/21090009},
  author = {Sartini, Francesco},
  keywords = {Strong Gravity},
  language = {en},
  title = {Black Hole interior: Symmetries and regularization },
  publisher = {Perimeter Institute},
  year = {2021},
  month = {sep},
  note = {PIRSA:21090009 see, \url{https://pirsa.org}}
}

Abstract

The spacetime in the interior of a black hole can be described by an homogeneous line element, for which the Einstein–Hilbert action reduces to a one-dimensional mechanical model. We have shown that this model exhibits a symmetry under the (2+1)-dimensional Poincaré group. The existence of this symmetry provides a powerful criterion to discriminate between different regularization and quantization schemes. It also unravels new aspects of symmetry for black holes, and opens the way towards a rigorous group quantization of the interior. Remarkably, the physical ISO(2,1) symmetry can be seen as a broken infinite-dimensional symmetry. This is done by reinterpreting the action for the model as a geometric action for the BMS3 group, where the configuration space variables are elements of the algebra bms3 and the equations of motion transform as coadjoint vectors.

Zoom Link: https://pitp.zoom.us/j/99646733321?pwd=U05kYU85V0Q4VCtrZ1BNV2JZbE1DUT09

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