A note on a local effect at the Schwarzschild sphere

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Coordinates, Gravitational Fields, Schwarzschild Metric, Spheres, Computer Programs, Invariance, Particle Acceleration, Tensors

Scientific paper

Passage of the Schwarzschild radius is shown to be locally measurable by a sign change in a certain scalar. In the Kerr solution this scalar changes sign at the stationary limit. This is an example of the use of a coordinate-invariant method, based on the curvature tensor and a finite number of its covariant derivatives, for investigating gravitational fields.

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