On limits of spacetimes -- a coordinate-free approach

Details On limits of spacetimes -- a coordinate-free approach On limits of spacetimes -- a coordinate-free approach

1993-02-05

arxiv.org/abs/gr-qc/9302005v1

Class.Quant.Grav.10:1165-1178,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pp

Scientific paper

10.1088/0264-9381/10/6/013

A coordinate-free approach to limits of spacetimes is developed. The limits
of the Schwarzschild metric as the mass parameter tends to 0 or $\infty$ 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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