Holographic Techniques Applied to Rotating Fluids and Non-Relativistic Fluids

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University of Alabama Libraries

With the advent of the influential AdS/CFT correspondence, as a concrete realization of the holographic principle, theoreticians can construct models of strongly coupled quantum systems. In practice the holographic community often constructs toy models qualitatively similar to the Quark Gluon Plasmas (QGP). This dissertation presents three applications of AdS/CFT to model strongly coupled fluids where two symmetries are broken via theory or change of state. As the first application, a model of a 2D non-relativistic strongly coupled fluid is presented. The non-relativistic gravitational dual is is Horava Gravity (HG). A numerical study is conducted to calculate the transport coefficients and Quasinormal Modes (QNM). Second, a model of a strongly coupled rotating plasma is constructed and analyzed. The study is conducted to calculate the transport coefficients. Third, the aforementioned analysis is extended to determine the convergence radius of the hydrodynamic expansion in the rotational case. The convergence radius is determined by the calculation of critical points. This dissertation also covers an international collaboration that studied a 4+1D resonating gravitational soliton. This study focuses on the thermodynamic stability of the spacetime and its dual "glueball phase". The dissertation will close with an exposition of current projects and future prospects.

Electronic Thesis or Dissertation
ads/cft, holography, horava, quasinormal modes, rotation