CaltechAUTHORS
  A Caltech Library Service

Toroidal horizons in binary black hole inspirals

Cohen, Michael I. and Kaplan, Jeffrey D. and Scheel, Mark A. (2012) Toroidal horizons in binary black hole inspirals. Physical Review D, 85 (2). Art. No. 024031. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20120302-140710339

[img]
Preview
PDF - Published Version
See Usage Policy.

3058Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120302-140710339

Abstract

We examine the structure of the event horizon for numerical simulations of two black holes that begin in a quasicircular orbit, inspiral, and finally merge. We find that the spatial cross section of the merged event horizon has spherical topology (to the limit of our resolution), despite the expectation that generic binary black hole mergers in the absence of symmetries should result in an event horizon that briefly has a toroidal cross section. Using insight gained from our numerical simulations, we investigate how the choice of time slicing affects both the spatial cross section of the event horizon and the locus of points at which generators of the event horizon cross. To ensure the robustness of our conclusions, our results are checked at multiple numerical resolutions. Three-dimensional visualization data for these resolutions are available for public access online. We find that the structure of the horizon generators in our simulations is consistent with expectations, and the lack of toroidal horizons in our simulations is due to our choice of time slicing.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.85.024031DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevD.85.024031PublisherUNSPECIFIED
http://prd.aps.org/abstract/PRD/v85/i2/e024031PublisherUNSPECIFIED
Additional Information:© 2012 American Physical Society. Received 7 October 2011; published 18 January 2012. We would like to thank Saul Teukolsky, Jeff Winicour, and Aaron Zimmerman for useful discussions on toroidal horizons. We would especially like to thank Jeandrew Brink for a careful reading of a draft of this manuscript and many useful suggestions for improvement. Thanks to Nick Taylor for experimenting with modified gauge conditions designed to retard the lapse function.We would also like to acknowledge Fan Zhang and Béla Szilágyi for interesting thoughts on why our numerical slicings have not resulted in toroidal event horizons. J. K. would like to thank David Nichols for a useful discussion on the numerical resolution of a toroidal horizon. M. C. would like to thank Matt Robbins and Joerg Wachner for designing Figs. 3–6. This work was supported in part by grants from the Sherman Fairchild Foundation and from the Brinson Foundation, by NSF Grants No. PHY-1068881 and No. PHY-1005655, by NASA Grant No. NNX09AF97G, and by NASA APT Grant No. NNX11AC37G.
Group:TAPIR
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Brinson FoundationUNSPECIFIED
NSFPHY-1068881
NSFPHY-1005655
NASANNX09AF97G
NASA APT NNX11AC37G
Classification Code:PACS: 04.25.D-, 04.20.-q, 04.20.Gz, 04.25.dg
Record Number:CaltechAUTHORS:20120302-140710339
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120302-140710339
Official Citation:Toroidal horizons in binary black hole inspirals Michael I. Cohen, Jeffrey D. Kaplan, and Mark A. Scheel Published 18 January 2012 (13 pages) 024031
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:29572
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:02 Mar 2012 22:25
Last Modified:26 Dec 2012 14:54

Repository Staff Only: item control page