3-Dimensional Theories of Gravity In Riemann-Cartan-Weyl Space- times and Their Locally Scale Covariant Extensions
Abstract: Field theories of gravity in (1+2)-dimensions has long received attention since they highlight the topological aspects of gravitation. Basic questions such as whether gravitational interactions may have a finite range or in which sense a quantum gravity might be useful have found insightful answers with this approach. In this talk, I first give a brief introduction to the differential geometry of space-times, putting emphasis on the local scaling laws of tensor fields. I then consider a generic action for gravitational fields that also includes quadratic curvature invariants in (1+2)-dimensions. I will derive the field equations by a first order constrained variational principle and comment on them.
Reminder: Tea and cookies will be in the seminar room before the seminar.