1970•American Journal of PhysicsRequires access

The Merry-Go-Round and Schwarzschild Coordinates: A Comparison

B. E. Laurent

Abstract

The behavior of the Schwarzschild metric inside the gravitational radius is compared to the behavior of the flat space metric in rotating coordinates when rω > 1. In both cases the time is imaginary and the spatial line element indefinite with regard to sign. In both cases the physical interpretation is the same: Observers at rest (in the coordinate system) do not exist.

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Key concepts: Physics, Schwarzschild radius, Kerr metric, Schwarzschild metric, Sign (mathematics), Deriving the Schwarzschild solution, RADIUS, Schwarzschild geodesics