Holography and black holes in gravitational theories without Lorentz symmetry.



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Recently, relativistic gauge/gravity duality, the best understood example of which is AdS/CFT correspondence, has been extended to its nonrelativistic version. In this dissertation, we study the holographic duality between nonrelativistic quantum field theories and gravitational theories which break Lorentz symmetry. In particular, we find that high-order operators dramatically modify a probe scalar field in the UV limit. Then, according to the gauge/gravity duality, this in turn affects the two-point correlation functions on the boundary. Black holes also exist in these theories with causal boundaries termed universal horizons. We present two new classes of charged black hole solutions in the framework of the Einstein-Maxwell-æther theory. Furthermore, we construct the Smarr formulas and study the temperatures at both Killing and universal horizons.