This thesis explores various aspects of black hole physics using the AdS/CFT correspondence and is divided into three main chapters. In Chapter 2, we explain the matching of three butterfly velocities obtained using out-of-time-order correlators, pole skipping and entanglement wedge reconstruction on the gravity side in holographic settings in higher derivative theories. In Chapter 3, we use ZZ boundary states in 2d Liouville theory to obtain the Hartle-Hawking state, correlation functions, Wheeler-DeWitt wavefunctions, late-time two point functions, and investigate their role as a defect operator in the factorization problem in 3d gravity, further uplifting results obtained for 2d JT gravity from previous works that uses 1d Schwarzian theory. In Chapter 4, we explore the saddlepoint geometry corresponding to microcanonical states at fixed energy and angular momenta in higher-dimensional AdS black holes.