Jul 15 – 19, 2024
Perimeter Institute for Theoretical Physics
America/Toronto timezone

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

Jul 16, 2024, 3:15 PM
15m
Federation Hall (University of Waterloo)

Federation Hall

University of Waterloo

Speaker

Conner Dailey (UWaterloo & PI)

Description

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.

Contact Email [email protected]

Primary author

Conner Dailey (UWaterloo & PI)

Presentation materials

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External references