Abstract
Spinor representation of the Schwarzschild metric is given. It is shown how the Trautman-Newman complex translation leads to the Kerr metric in this representation. Some new solutions are found when λμ appearing in the Kerr-Schild metric is a constant null vector. In this case, it is observed that the Kerr-Schild metric is the solution of the Einstein-Maxwell field equations with a null fluid. It is also found that, for some special cases, this metric is a solution for the electrovacuum gravitational-field equations with a cosmological constant.
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