PIRSA:24070092

Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes

Dailey, C. (2024). Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes. Perimeter Institute. https://pirsa.org/24070092

Dailey, Conner. Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes. Perimeter Institute, Jul. 16, 2024, https://pirsa.org/24070092 

          @misc{ pirsa_PIRSA:24070092,
            doi = {10.48660/24070092},
            url = {https://pirsa.org/24070092},
            author = {Dailey, Conner},
            keywords = {},
            language = {en},
            title = {Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {jul},
            note = {PIRSA:24070092 see, \url{https://pirsa.org}}
          }

Conner Dailey

Perimeter Institute for Theoretical Physics

Talk number
PIRSA:24070092
Collection
Talk Type
Abstract
Recently, there has been much interest in black hole echoes, based on the idea that there may be some mechanism (e.g., from quantum gravity) that waves/fields falling into a black hole could partially reflect off of an interface before reaching the horizon. There does not seem to be a good understanding of how to properly model a reflecting surface in numerical relativity, as the vast majority of the literature avoids the implementation of artificial boundaries, or applies transmitting boundary conditions. Here, we present a framework for reflecting a scalar field in a fully dynamical spherically symmetric spacetime, and implement it numerically. We study the evolution of a wave packet in this situation and its numerical convergence, including when the location of a reflecting boundary is very close to the horizon of a black hole. This opens the door to model exotic near-horizon physics within full numerical relativity.