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Curvature

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Abstract

‘Spacetime is curved’. It is, of course, not easy to understand adequately what is meant by that sentence as it occurs in the general theory of relativity. There are two principal axes of ‘precisation’, one leads into pure mathematics, the other into physics and cosmology. We shall start with the mathematical.1

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Notes

  1. 1.

    A formulation U is more precise than a formulation T if and only if the set of different interpretations of U is a genuine subset of the interpretations of T. In other words, if U is more precise than T, there is a higher definiteness of meaning and less ambiguity in U than in T. The more precise formulations, U 1, U 2, …, are called precisations.

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Correspondence to Øyvind Grøn .

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Grøn, Ø., Næss, A. (2011). Curvature. In: Einstein's Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0706-5_9

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