Physicists like to describe cosmic phenomena with black holes and they investigate black holes as a source of high-energy cosmological particles. Investigating rotating accelerated black hole as particle accelerator, is an interesting issue that we focused on. We have developed geodesic equations and calculated the center-of-mass energy of two colliding particles near the event horizons. Fine-tuned angular momentum of particle to some critical value leads us to get the result that extremely and nearly extremely rotating black holes can accelerate particles to arbitrary high energy and this value stays unaffected by the acceleration parameter. Additionally, we have generalized this procedure for Myers-Perry black holes as a higher dimension solution. In the next part, after reviewing concepts such as entanglement entropy in quantum field theories and holographic entanglement entropy, we have investigated the holographic entanglement entropy in the Rindler-AdS space-time in order to obtain an exact solution for the corresponding minimal surface. Moreover, we investigate the holographic entanglement entropy of the charged single accelerated AdS Black holes in four dimensions. It is shown that by increasing the acceleration parameter, the holographic entanglement entropy and the volume in both Rindler space-time and charged single accelerated AdS Black holes (C-metric) in the bulk, decrease. The rotating black holes are more important than other solutions of the Einstein equations because they observe more in the universe. It is difficult to find exact solution in higher dimension. The Newman–Janis (NJ) method is a prescription to derive the Kerr space-time from the Schwarzschild metric. In an appendix part of this thesis , we propose the simplest algorithm for generation of the five-dimensional MP metric with two arbitrary angular momenta by using the Kerr–Schild form of the metric and quaternions. Then, we present another new two-step version of the NJ approach without using quaternions that generate higher odd-dimensional black holes with equal angular momenta.
