We extend Vaidya's algorithm for the description of a central mass losing or gaining energy due to electromagnetic-type radiation (`null dust') to the case of arbitrary radial corpuscular radiation. We also demonstrate the remarkable possibility of purely algebraic deduction of the Vaidya solution without integrating the field equations, and interpret this possibility as an artifact of curvature coordinates. Since Vaidya's approach by itself cannot lead to certain dependence of mass on spacetime coordinates, the search for a corresponding mass-function represents an independent issue. In this regard, as a perspective, we discuss an outlook on the problem of variable masses as a whole.

中文翻译：

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坐标效应：不积分场方程的 Vaidya 解

我们将 Vaidya 算法用于描述由于电磁型辐射（“零尘”）而导致的中心质量损失或获得能量，以适用于任意径向微粒辐射的情况。我们还证明了在不积分场方程的情况下对 Vaidya 解进行纯代数推导的显着可能性，并将这种可能性解释为曲率坐标的人工产物。由于 Vaidya 的方法本身不能导致质量对时空坐标的某种依赖性，因此寻找相应的质量函数代表了一个独立的问题。在这方面，作为一个视角，我们从整体上讨论了对可变质量问题的看法。