Metric-Affine Gauge theories of gravity: Foundations and new insights

Understand

This thesis covers several developments performed in metric-affine gravity.

• This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and nonmetricity participate in the dynamics).
• We start by revising some mathematical aspects of the metric-affine framework, the way Lovelock and other invariants are extended to it and the construction of a gauge formalism.
• Then we focus on metric-affine pp-wave geometries and explore solutions of this type for the quadratic metric-affine Lagrangian (with even-parity invariants).