A Brief Introduction to Loop Quantum Cosmology
arXiv:0907.5160 · doi:10.1063/1.3146242
Abstract
In recent years, Loop Quantum Gravity has emerged as a solid candidate for a nonperturbative quantum theory of General Relativity. It is a background independent theory based on a description of the gravitational field in terms of holonomies and fluxes. In order to discuss its physical implications, a lot of attention has been paid to the application of the quantization techniques of Loop Quantum Gravity to symmetry reduced models with cosmological solutions, a line of research that has been called Loop Quantum Cosmology. We summarize its fundamentals and the main differences with respect to the more conventional quantization approaches employed in cosmology until now. In addition, we comment on the most important results that have been obtained in Loop Quantum Cosmology by analyzing simple homogeneous and isotropic models. These results include the resolution of the classical big-bang singularity, which is replaced by a quantum bounce.
15 pages, published in AIP Conference Proceedings, Volume 1130, Geometry and Physics: XVII International Fall Workshop on Geometry and Physics
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- Hybrid quantization of an inflationary universe
- Quantum black holes in Loop Quantum Gravity
- Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
- Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
- Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
- Hybrid Quantization: From Bianchi I to the Gowdy Model
- Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
- Hybrid quantization of an inflationary model: The flat case
- Prescriptions in Loop Quantum Cosmology: A comparative analysis
- On effective loop quantum geometry of Schwarzschild interior
- Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
- Time-dependent mass of cosmological perturbations in the hybrid and dressed metric approaches to loop quantum cosmology
- The Vacuum State of Primordial Fluctuations in Hybrid Loop Quantum Cosmology
- Quantum corrections to the Mukhanov-Sasaki equations
- Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
- Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
- Hamiltonian diagonalization in hybrid quantum cosmology
- Uniqueness of the Fock quantization of fields with unitary dynamics in nonstationary spacetimes
- Effective dynamics of the hybrid quantization of the Gowdy T^3 universe
- Non-oscillating power spectra in Loop Quantum Cosmology
- Planck scale physics and topology change through an exactly solvable model
- The Martin-Benito-Mena Marugan-Olmedo prescription for the Dapor-Liegener model of Loop Quantum Cosmology
- Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
- Fermions in Hybrid Loop Quantum Cosmology
- Primordial perturbations in the Dapor-Liegener model of hybrid loop quantum cosmology
- Extended phase space quantization of a black hole interior model in Loop Quantum Cosmology
- Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
- Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
- Unique Fock quantization of a massive fermion field in a cosmological scenario
- Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model
- Backreaction of fermionic perturbations in the Hamiltonian of hybrid loop quantum cosmology
- Could Planck Star Remnants be Dark Matter?
- Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
- Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
- Axial perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
- Dapor-Liegener formalism of loop quantum cosmology for Bianchi I spacetimes
- The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
- Effects of the inflaton potential on the primordial power spectrum in Loop Quantum Cosmology scenarios
- Taming Thiemann's Hamiltonian constraint in canonical loop quantum gravity: reversibility, eigenstates and graph-change analysis
- On the evolution of the volume in Loop Quantum Cosmology
- Quantization ambiguities and the robustness of effective descriptions of primordial perturbations in hybrid Loop Quantum Cosmology
- Primordial perturbations in kinetically dominated regimes of general relativity and hybrid quantum cosmology
- Non-oscillating vacuum states and the quantum homogeneity and isotropy hypothesis in Loop Quantum Cosmology