Speaker
Description
In this talk, I will present a mathematical framework that enables access to symmetric sectors within the full phase space of loop quantum gravity (LQG), offering a systematic approach to studying effective dynamics in a broad range of settings. Focusing on spherically symmetric solutions, this method of symmetry restriction is applicable to both cosmological and black hole spacetimes, and facilitates the construction of effective models that remain deeply rooted in the full theory. As an illustrative application, I will introduce new effective models for quantum cosmology and compare their features with existing LQG-inspired models in both spatially flat and closed universes. Our analysis reveals significant differences in the behaviour of these models as the curvature approaches the Planck regime, shedding light on key aspects of the pre- and post-bounce evolution. While the focus here is on cosmology, this framework also lays the foundation for future investigations into quantum gravitational effects in static and, more generally, rotating black holes.
