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- W3012283375 abstract "In previous work, we developed tools for quantifying the tidal distortion of a black hole's event horizon due to an orbiting companion. These tools use techniques which require large mass ratios (companion mass $ensuremath{mu}$ much smaller than black hole mass $M$), but can be used for arbitrary bound orbits and for any black hole spin. We also showed how to visualize these distorted black holes by embedding their horizons in a global Euclidean three-space, ${mathbb{E}}^{3}$. Such visualizations illustrate interesting and important information about horizon dynamics. Unfortunately, we could not visualize black holes with spin parameter ${a}_{*}gsqrt{3}/2ensuremath{approx}phantom{rule{0ex}{0ex}}0.866$: such holes cannot be globally embedded into ${mathbb{E}}^{3}$. In this paper, we overcome this difficulty by showing how to embed the horizons of tidally distorted Kerr black holes in a hyperbolic three-space, ${mathbb{H}}^{3}$. We use black hole perturbation theory to compute the Gaussian curvatures of tidally distorted event horizons, from which we build a two-dimensional metric of their distorted horizons. We develop a numerical method for embedding the tidally distorted horizons in ${mathbb{H}}^{3}$. As an application, we give a sequence of embeddings into ${mathbb{H}}^{3}$ of a tidally interacting black hole with spin ${a}_{*}=0.9999$. A small-amplitude, high-frequency oscillation seen in previous work shows up particularly clearly in these embeddings." @default.
- W3012283375 created "2020-03-23" @default.
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- W3012283375 date "2017-09-01" @default.
- W3012283375 modified "2023-09-23" @default.
- W3012283375 title "Strong-field tidal distortions of rotating black holes. III. Embeddings in hyperbolic three-space" @default.
- W3012283375 hasPublicationYear "2017" @default.
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