Owen, Robert and Brink, Jeandrew and Chen, Yanbei and Kaplan, Jeffrey D. and Lovelace, Geoffrey and Matthews, Keith D. and Nichols, David A. and Scheel, Mark A. and Zhang, Fan and Zimmerman, Aaron and Thorne, Kip S. (2011) Frame-Dragging Vortexes and Tidal Tendexes Attached to Colliding Black Holes: Visualizing the Curvature of Spacetime. Physical Review Letters, 106 (15). Art. No. 151101. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20110505-111533214
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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.
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| 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. | ||||||||||||||||||||||||
| Group: | TAPIR | ||||||||||||||||||||||||
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| Classification Code: | PACS: 04.25.dg, 04.25.Nx, 04.30.-w | ||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20110505-111533214 | ||||||||||||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20110505-111533214 | ||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||
| ID Code: | 23559 | ||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||||
| Deposited On: | 05 May 2011 21:37 | ||||||||||||||||||||||||
| Last Modified: | 11 Sep 2014 16:55 |
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