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On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?

Herbert Balasin·Herbert Nachbagauer
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Abstract

Using distributional techniques we calculate the energy--momentum tensor of the Schwarzschild geometry. It turns out to be a well--defined tensor--distribution concentrated on the $r=0$ region which is usually excluded from space--time. This provides a physical interpretation for the curvature of this geometry.

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Herbert Balasin, Herbert Nachbagauer. 1993-05-10. On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?. https://doi.org/10.1088/0264-9381%2F10%2F11%2F010

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