Leiden University Student Repository

Lučić, Sebastian (2016)

Fibre Bundles in General Relativity

Bachelor thesis | Natuurkunde (BSc)

In this thesis, we introduce the language of smooth manifolds, which is the natural setting for general relativity, and show how the restricted Lorentz group is related to the complex special linear group in two dimensions, and argue how this relation shows that spinors come up naturally in general relativity. We then consider fibre bundles and how they come up in general relativity, and how they are necessary to define what a spin structure is, and examine under which assumptions it exists. We conclude with a proper definition of Einstein’s field equation.

Fibre Bundles

Spin Structure

General Relativity

Author

Lučić, Sebastian

Faculty

Faculty of Science

Supervisors

Veen, Roland van der
Dalhuisen, Jan Willem
Bouwmeester, Dirk

ECTS Credits

3

Language

en