Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published April 11, 2011 | Published
Journal Article Open

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


When one splits spacetime into space plus time, the spacetime curvature (Weyl tensor) gets split into an "electric" part ε_(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 ε_(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.

Additional Information

© 2011 American Physical Society. Received 21 December 2010; published 11 April 2011. We thank Larry Kidder and Saul Teukolsky for helpful discussions. Our simulations have been performed by using the Spectral Einstein Code (SpEC) [19]. This research was supported by NSF Grants No. PHY-0601459, No. PHY-0653653, No. PHY-0960291, No. PHY- 0969111, and No. PHY-1005426 and CAREER Grant No. PHY-0956189, by NASA Grants No. NNX09AF97G and No. NNX09AF96G, and by the Sherman Fairchild Foundation, the Brinson Foundation, and the David and Barbara Groce fund.

Attached Files

Published - Owen2011p13644Phys_Rev_Lett.pdf


Files (910.3 kB)
Name Size Download all
910.3 kB Preview Download

Additional details

August 19, 2023
October 23, 2023