Two time-dependent mass profiles are proposed as exact models of the last stage of Schwarzschild collapse; one develops the curvature singularity immediately, the other only at infinite time, though the second model's formulas are internally inconsistent.
On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
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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.
fields
gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Analytic models for gravitational collapse
Two time-dependent mass profiles are proposed as exact models of the last stage of Schwarzschild collapse; one develops the curvature singularity immediately, the other only at infinite time, though the second model's formulas are internally inconsistent.