Reinstating Schwarzschild's original manifold and its singularity
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The content of this review is summarized here through the titles of its sections, as follows:
1. Introduction: Schwarzschild's original solution and the ``Schwarzschild solution''.
2. The wrong arrow of time of Hilbert's manifold is at the origin of the Kruskal extension.
3. An invariant, local, intrinsic quantity that diverges at the Schwarzschild surface.
4. The singularity at the Schwarzschild surface is both intrinsic and physical.
5. Conclusion.
38 pages, 4 figures. Misprints corrected. To appear in: "General Relativity Research Trends", Horizons in World Physics, vol. 249, Nova Science Publishers
38 pages, 4 figures. Misprints corrected. To appear in: "General Relativity Research Trends", Horizons in World Physics, vol. 249, Nova Science Publishers