Formation of black branes with U(1) scalar hair

Persistent URL of this record https://hdl.handle.net/1887/52788

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Physics (MSc)

Sterk, Peter (2017)

Formation of black branes with U(1) scalar hair

Master thesis | Physics (MSc)

We describe a complete strategy to numerically compute the collapse of a massless U(1) charged scalar field into a black brane final state in 4+1-dimensional anti-de Sitter space. We implement this strategy to investigate the formation of scalar hair, corresponding to a superconducting order parameter in a dual conformal field theory. We show that the approach to the final state takes the form of damped oscillations, with the degree of damping being strongly dependent on the temperature of the final state, as well as on the near-boundary shape of the initial distribution.

numerical general relativity

holographic superconductor