Choptuik, Matthew and Lehner, Luis and Olabarrieta, Ignacio (Iñaki) and Petryk, Roman and Pretorius, Frans and Villegas, Hugo (2003) Towards the final fate of an unstable black string. Physical Review D, 68 (4). Art. No. 044001. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:CHOprd03a
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Black strings, one class of higher dimensional analogues of black holes, were shown to be unstable to long wavelength perturbations by Gregory and Laflamme in 1992, via a linear analysis. We reexamine the problem through the numerical solution of the full equations of motion, and focus on trying to determine the end state of a perturbed, unstable black string. Our preliminary results show that such a spacetime tends towards a solution resembling a sequence of spherical black holes connected by thin black strings, at least at intermediate times. However, our code fails then, primarily due to large gradients that develop in metric functions, as the coordinate system we use is not well adapted to the nature of the unfolding solution. We are thus unable to determine how close the solution we see is to the final end state, though we do observe rich dynamical behavior of the system in the intermediate stages.
|Additional Information:||©2003 The American Physical Society. Received 28 April 2003; published 1 August 2003. We gratefully acknowledge support from the following agencies, institutes and grants: NSERC, NSF PHY-0099568, The Canadian Institute for Advanced Research, The Canadian Institute for Theoretical Astrophysics, The Pacific Institute for Mathematical Sciences, The Government of the Basque Country, The Izaak Walton Killam Fund and Caltech’s Richard Chase Tolman Fund. Computations were performed on (i) the vn.physics.ubc.ca cluster which was funded by the Canadian Foundation for Innovation (CFI) and the BC Knowledge Development Fund; (ii) LosLobos at Albuquerque High Performance Computing Center; (iii) the high-performance computing facilities within LSU’s Center for Applied Information Technology and Learning, which is funded through Louisiana legislative appropriations, and (iv) the MACI cluster at the University of Calgary, which is funded by the Universities of Alberta, Calgary, Lethbridge and Manitoba, and by C3.ca, the Netera Alliance, CANA-RIE, the Alberta Science and Research Authority, and the CFI. We would like to thank G. Horowitz, W.G. Unruh, R. Wald, R. Myers, T. Wiseman and B. Kol for stimulating discussions.|
|Subject Keywords:||black holes; gravitation; cosmology; numerical analysis; space-time configurations; general relativity; perturbation theory|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||10 Jul 2006|
|Last Modified:||26 Dec 2012 08:56|
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