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Gravitation

In: A Course in Mathematical Physics 2

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  • Walter Thirring

    (University of Vienna, Institute for Theoretical Physics)

Abstract

In field theory one has to deal with deri vat ives of vector fields and in modern theories there appear quantities which are vectors not in space-time but in an internal space. In both cases one deals with vector bundles where vectors at different points are not canonically oriented towards each other. A chart independent notion of a derivative requires an additional structure, the so-called connection. It will be the subject of this chapter. As one hopes that eventually space , time and internal space will turn out to be onl y different directions in a unifying entity we start with some definitions which allow us to tre at both cases in the same way.

Suggested Citation

  • Walter Thirring, 1978. "Gravitation," Springer Books, in: A Course in Mathematical Physics 2, edition 0, chapter 4, pages 155-252, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-8762-4_4
    DOI: 10.1007/978-1-4419-8762-4_4
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