Strong-field tidal distortions of rotating black holes: III. Embeddings in hyperbolic 3-space

Understand

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 $\mu$ 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 3-space, ${\mathbb{E}}^3$.
• Such visualizations illustrate interesting and important information about horizon dynamics.