PIRSA:21090009

Black Hole interior: Symmetries and regularization

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}}
          }

Francesco Sartini

École Normale Supérieure de Lyon (ENS Lyon)

Talk number
PIRSA:21090009
Collection
Talk Type
Subject
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