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

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arxiv 1012.4869 v2 pith:G6SVNDNM submitted 2010-12-22 gr-qc astro-ph.COastro-ph.GAastro-ph.HE

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
This is my paper
classification gr-qc astro-ph.COastro-ph.GAastro-ph.HE
keywords spacetimetidalblack-holecurvaturedescribeslinesparttendexes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

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