Abstract
It is shown that the complexification of Vaidya's metric results in a metric that bears the same relation to Vaidya's metric as does the Kerr metric to the Schwarzschild metric. However, the energy-momentum tensor consists of two parts: (1) radiative and (2) nonradiative. The nonradiative part also corresponds to a trace-free field.
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Silva, M.A., Som, M.M. Complexified Vaidya's metric. Int J Theor Phys 18, 411–418 (1979). https://doi.org/10.1007/BF00670058
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DOI: https://doi.org/10.1007/BF00670058