On limits of spacetimes -- a coordinate-free approach
F. M. Paiva, M. J. Rebouças, M. A. H. MacCallum
Abstract
A coordinate-free approach to limits of spacetimes is developed. The limits of the Schwarzschild metric as the mass parameter tends to 0 or ∞ are studied, extending previous results. Besides the known Petrov type D and 0 limits, three vacuum plane-wave solutions of Petrov type N are found to be limits of the Schwarzschild spacetime.
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