Einstein kütleçekim teorisinde Kerr-Schild metrikleri

Several aspects of the Kerr-Schild ansatz; including the generalized ansatz which has a generic background metric instead of a flat metric, Kerr-Schild groups and Classical Double Copy, are investigated. It is shown that, in vacuum, not all generalized Kerr-Schild spacetimes are algebraically special, whereas the Kerr-Schild spacetimes are always algebraically special. We also touch upon Kerr-Schild-Kundt spacetimes and further discuss their universality property before we continue with the Kerr-Schild groups in the next chapter where we work on the coordinate transformations leading to the generalized Kerr-Schild ansatz. Finally, we study the classical double copy proposition which relates some solutions of gravity theories with the solutions of gauge theories. To this end, we examine the correspondence between solutions of the Kerr-Schild form and the Yang-Mills solutions.