Gravitationally Lensed Black Hole Emission Tomography
- URL: http://arxiv.org/abs/2204.03715v1
- Date: Thu, 7 Apr 2022 20:09:51 GMT
- Title: Gravitationally Lensed Black Hole Emission Tomography
- Authors: Aviad Levis, Pratul P. Srinivasan, Andrew A. Chael, Ren Ng, Katherine
L. Bouman
- Abstract summary: We propose BH-NeRF, a novel tomography approach that leverages gravitational lensing to recover the continuous 3D emission field near a black hole.
Our method captures the unknown emission field using a continuous volumetric function parameterized by a coordinate-based neural network.
This work takes the first steps in showing how future measurements from the Event Horizon Telescope could be used to recover evolving 3D emission around the supermassive black hole in our Galactic center.
- Score: 21.663531093434127
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Measurements from the Event Horizon Telescope enabled the visualization of
light emission around a black hole for the first time. So far, these
measurements have been used to recover a 2D image under the assumption that the
emission field is static over the period of acquisition. In this work, we
propose BH-NeRF, a novel tomography approach that leverages gravitational
lensing to recover the continuous 3D emission field near a black hole. Compared
to other 3D reconstruction or tomography settings, this task poses two
significant challenges: first, rays near black holes follow curved paths
dictated by general relativity, and second, we only observe measurements from a
single viewpoint. Our method captures the unknown emission field using a
continuous volumetric function parameterized by a coordinate-based neural
network, and uses knowledge of Keplerian orbital dynamics to establish
correspondence between 3D points over time. Together, these enable BH-NeRF to
recover accurate 3D emission fields, even in challenging situations with sparse
measurements and uncertain orbital dynamics. This work takes the first steps in
showing how future measurements from the Event Horizon Telescope could be used
to recover evolving 3D emission around the supermassive black hole in our
Galactic center.
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