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Some new development of reduced phase space quantization: cosmology and black holes

Nov 25
Group Seminar
2:00 pm o'clock to 3:30 pm o'clock
Hongguang Liu (FAU Erlangen, Germany)

We apply the reduced phase space formulation of Loop Quantum Gravity (LQG) with dust to cosmological perturbation theory and spherically symmetric systems.
We propose a new model of the spherical symmetric LQG black hole and study the effective dynamics. We constructs the improved effective Hamiltonian by the mu-bar-scheme regularization under spherical symmetry reduction. An advantage of our model is that it includes infinitely many DOFs and describes the effective dynamics of both interior and exterior of the black hole in one set of effective EOMs. The black hole singularity is resolved and replaced by the non-singular bounce in the model. After the bounce, the evolution stabilizes asymptotically to the charged Nariai limit dS2 ×S2 with different dS and S2 radii. The possible quantum tunneling and BH-to-WH transition scenario are investigated.
We also apply the full theory of LQG coupled to scalar and dust field to cosmology. We provide a new regularization scheme with dynamical lattice refinement, which have similar behaviors as mu-bar scheme LQC. We also present a top-down derivation of gauge-invariant cosmological perturbation theory from quantum gravity and study numerically the evaluation and power spectrums for perturbations.