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arxiv: 1012.4869 · v2 · submitted 2010-12-22 · 🌀 gr-qc · astro-ph.CO· astro-ph.GA· astro-ph.HE

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Frame-Dragging Vortexes and Tidal Tendexes Attached to Colliding Black Holes: Visualizing the Curvature of Spacetime

Robert Owen , Jeandrew Brink , Yanbei Chen , Jeffrey D. Kaplan , Geoffrey Lovelace , Keith D. Matthews , David A. Nichols , Mark A. Scheel
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Fan Zhang Aaron Zimmerman Kip S. Thorne
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classification 🌀 gr-qc astro-ph.COastro-ph.GAastro-ph.HE
keywords spacetimetidalblack-holecurvaturedescribeslinesparttendexes
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When one splits spacetime into space plus time, the spacetime curvature (Weyl tensor) gets split into an "electric" part E_{jk} that describes tidal gravity and a "magnetic" part B_{jk} that describes differential dragging of inertial frames. We introduce tools for visualizing B_{jk} (frame-drag vortex lines, their vorticity, and vortexes) and E_{jk} (tidal tendex lines, their tendicity, and tendexes), and also visualizations of a black-hole horizon's (scalar) vorticity and tendicity. We use these tools to elucidate the nonlinear dynamics of curved spacetime in merging black-hole binaries.

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