The structure and geometry of black holes

In this thesis, well known isolated black hole solutions have been studied as a first step. Many aspects such as whether a test particle, which orbits in the geometry formed by a black hole, has mass and/or spin, charge, orbiting in circular or elliptic orbits, its gravitational radiation effect on the orbital evolution and whether the black hole can be transformed into naked singularity by sending particles or not. In addition to numerical and analytical results for binary black holes, which were performed by others, gravitational wave observations have been presented. Finally, the analogy between black hole physics and thermodynamics has been presented.