Abstract
We now look more closely at what happens at the Schwarzschild radius, r = 2m. It is clear that something goes wrong there in the formula (7.6) for the metric coefficients. We show, however, that the singularity is not in the space—time geometry itself, but simply in the coordinates in which it is expressed. The singular behaviour at r = 2m goes away when we make an appropriate change of coordinates.
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© 2007 Springer-Verlag London Limited
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(2007). Black Holes. In: General Relativity. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-84628-487-8_9
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DOI: https://doi.org/10.1007/978-1-84628-487-8_9
Publisher Name: Springer, London
Print ISBN: 978-1-84628-486-1
Online ISBN: 978-1-84628-487-8
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