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GR: Fachverband Gravitation und Relativitätstheorie

GR 5: Klassische Allgemeine Relativitätstheorie II

GR 5.4: Talk

Tuesday, March 10, 2009, 17:45–18:05, A214

The Schwarzschild solution and its implications for gravitational waves — •Stephen J. Crothers — P.O. Box 1546, Sunshine Plaza, 4558, Queensland, Australia

The so-called Schwarzschild solution is not Schwarzschild's solution. The quantity r in the so-called Schwarzschild solution has never been rightly identified by the physicists. The said quantity r is in fact the inverse square root of the Gaussian curvature of a spherically symmetric geodesic surface in the spatial section, not in itself a distance in that manifold. It is easily proven that there is only one singularity associated with Schwarzschild spacetime. The standard removal of the singularity at r = 2m is, in a very real sense, removal of the wrong singularity. Consequently, there are no black holes associated with the field equations Ric = 0 and therefore no related gravitational waves. It is also shown that Ric = 0 violates Einstein's Principle of Equivalence. This has major implications for gravitational waves.