Speaker
Description
There are many proposals in the context of loop quantum gravity to effectively describe the main effects predicted by the theory by performing certain specific modifications in the Hamiltonian of general relativity. However, in general, such modifications produce anomalies in the constraint algebra, which imply a loss of covariance of the effective theory. In this work we focus on spherical symmetry and we present a family of effective Hamiltonians, which indeed form a closed constraint algebra. In this way, the corresponding metric tensor can be constructed in a covariant way, so that different gauge choices in phase space simply correspond to different spacetime coordinates. This model is then used to study in detai spherical black holes (with charge and cosmological constant) and, in particular, to analyze the possible resolution of the classical singularity.
