Published April 11, 2011
| Published
Journal Article
Open
Frame-Dragging Vortexes and Tidal Tendexes Attached to Colliding Black Holes: Visualizing the Curvature of Spacetime
Abstract
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
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Additional details
- Eprint ID
- 23559
- Resolver ID
- CaltechAUTHORS:20110505-111533214
- NSF
- PHY-0601459
- NSF
- PHY-0653653
- NSF
- PHY-0960291
- NSF
- PHY-0969111
- NSF
- PHY-1005426
- NASA
- PHY-0956189
- NASA
- NNX09AF97G
- NASA
- NNX09AF96G
- Sherman Fairchild Foundation
- Brinson Foundation
- David and Barbara Groce Fund
- Created
-
2011-05-05Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Caltech groups
- TAPIR