Speaker
Description
Based on modifications inspired from loop quantum gravity (LQG), spherically symmetric models have recently been explored to understand the resolution of classical singularities and the fate of the spacetime beyond. While such phenomenological studies have provided useful insights, questions remain on whether such models exhibit some of the desired properties such as consistent LTB conditions, covariance and compatibility with the improved dynamics of loop quantum cosmology in the cosmological and LTB sectors. We provide a systematic procedure to construct effective spherically symmetric models encoding LQG modifications as a 1+1d field theory models encoding these properties. Moreover, the existence of the LTB condition allows us to derive analytically the general dust collapse solution in both the bound and unbound cases. With the general solution and the help of the underlying covariant model, we can analyze the corresponding solution in the Schwarzschild-like coordinate, the existence of the Birkhoff-like theorem, and weak singularities and shock solutions. As concrete examples of our generalized strategy, we obtain and compare with several phenomenological models that have been recently studied.
