Embedding initial data for black hole collisions

Abstract

We discuss isometric embedding diagrams for the visualization of initial data for the problem of the head-on collision of two black holes. The problem of constructing the embedding diagrams is explicitly presented for the best studied initial data, the Misner geometry. We present a partial solution of the embedding diagrams and discuss issues related to completing the solution.

(27pp text, 11 figures)

References in corpus (3)

• Colliding Black Holes: The Close Limit
• The Collision of Two Black Holes
• Collisions of boosted black holes: perturbation theory prediction of gravitational radiation

Cited by in corpus (3)

• Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications
• Isometric embeddings of black hole horizons in three-dimensional flat space
• New efficient algorithm for the isometric embedding of 2-surface metrics in 3 dimensional Euclidean space