PIRSA:13100102

Hybrid quantization of the Gowdy model within loop quantum cosmology

APA

Martin-Benito, M. (2013). Hybrid quantization of the Gowdy model within loop quantum cosmology. Perimeter Institute. https://pirsa.org/13100102

MLA

Martin-Benito, Mercedes. Hybrid quantization of the Gowdy model within loop quantum cosmology. Perimeter Institute, Oct. 15, 2013, https://pirsa.org/13100102

BibTex

          @misc{ pirsa_PIRSA:13100102,
            doi = {10.48660/13100102},
            url = {https://pirsa.org/13100102},
            author = {Martin-Benito, Mercedes},
            keywords = {Cosmology},
            language = {en},
            title = {Hybrid quantization of the Gowdy model within loop quantum cosmology},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100102 see, \url{https://pirsa.org}}
          }
          

Mercedes Martin-Benito Complutense University of Madrid

Abstract

Loop quantum cosmology (LQC) proposes a quantization for homogeneous cosmologies which success in solving the classical singularity problem. Realistic scenarios call for the consideration of inhomogeneities. Focusing on the simplest inhomogenous cosmological model, the Gowdy model with three-torus spatial topology and linearly polarized gravitational waves, I'll describe an approach to treat inhomogeneities in the framework of loop quantum cosmology. This is a hybrid approach that combines LQC methods with Fock quantization. Furthermore, I'll discuss justified approximations that allow us to find approximate solutions to the (very complicated) Hamiltonian constraint of the model.