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Initial data for an asymptotically flat black string

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Title: Initial data for an asymptotically flat black string
Author: Potter, Shannon
Department: Department of Physics
Program: Physics
Advisor: Lehner, Luis
Abstract: It has been argued that a black string in a compact fifth dimension is unstable and that this instability can lead to a bifurcation of the event horizon. Such an event would expose a naked singularity and -- if observable by an asymptotic observer -- would constitute a violation of cosmic censorship. While the previously studied black string appears to bifurcate, strictly there are no asymptotic observers when one dimension is compact. With this motivation, we consider an asymptotically flat black string in a non-compact fifth dimension, as an instability in this black string may lead to a true violation of cosmic censorship --- an event of theoretical interest. We limit ourselves to the construction of initial data --- a metric representing the black string at a moment in time. While we do not consider the time evolution, and hence do not observe the instability, we construct initial conditions which we expect to be unstable. To assess this, we find the apparent horizon and evaluate curvature invariants along the horizon.
URI: http://hdl.handle.net/10214/8432
Date: 2014-09
Rights: Attribution-ShareAlike 2.5 Canada
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Attribution-ShareAlike 2.5 Canada Except where otherwise noted, this item's license is described as Attribution-ShareAlike 2.5 Canada