"Initial data for a black string in a non-compact 5th dimension"
It has been argued that a black string in a compact 5th 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 in a compact dimension. With this motivation, we consider an asymptotically flat black string in a non-compact 5th dimension, as 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.
Dr. Xiaorong Qin, Chair
Dr. Eric Poisson, Supervisor
Dr. Martin Williams, Member
Dr. Luis Lehner, Member