On limits of spacetimes – a coordinate-free approach
نویسندگان
چکیده
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. pacs numbers: 04.20.Jb, 04.20.Cv
منابع مشابه
On the limits of Brans-Dicke spacetimes: a coordinate-free approach
We investigate the limit of Brans-Dicke spacetimes as ω → ∞ applying a coordinate-free technique. We obtain the limits of some known exact solutions. It is shown that these limits may not correspond to similar solutions in the general relativity theory. pacs numbers: 04.20.Jb, 04.20.Cv, 04.50.+h
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