Leiden University Student Repository

Bouman, Jasper (2016)

Gravity and Connections on Vector Bundles

Bachelor thesis | Natuurkunde (BSc)

The main subject of this thesis is a reformulation of Einstein’s equation. In this reformulation, the variable is not a metric, but a connection on a vector bundle. Nevertheless, we can associate a Riemannian metric to a connection. This allows us to relate the new formulation to the usual formulation, i.e. this allows us to argue that the new formulation is in fact a reformulation of Einstein’s equation. Since the physically significant metrics are of Lorentzian signature, we also consider modifying the new formulation in an attempt to make it suitable for Lorentzian metrics.

Gravity

Connections

Vector Bundles

Author

Bouman, Jasper

Faculty

Faculty of Science

Supervisors

Dalhuisen, Jan Willem
Veen, Roland van der

ECTS Credits

3

Language

en