Comparing Analytic and Numerical Studies of Tensor Perturbations in Loop Quantum Cosmology
Abstract
:1. Introduction
2. Background Dynamics
3. Effective Mass in the Hybrid and Dressed Metric Approaches
3.1. Hybrid Quantization Approach
3.2. Dressed Metric Approach
4. Initial Conditions and Vacuum State
5. Approximate Effective Mass and Mode Solutions for the Hybrid and Dressed Metric Approaches
5.1. Hybrid Quantization
5.1.1. Pöschl-Teller Approximation
5.1.2. Kinetic Domination
5.1.3. Slow Roll
5.2. Dressed Metric Approach
5.2.1. Pöschl–Teller Approximation
5.2.2. Constant Effective Mass
5.2.3. Kinetic Domination
5.2.4. Slow Roll
6. Primordial Power Spectrum
7. Discussion
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Mena Marugán, G.A.; Vicente-Becerril, A.; Yébana Carrilero, J. Comparing Analytic and Numerical Studies of Tensor Perturbations in Loop Quantum Cosmology. Universe 2024, 10, 365. https://doi.org/10.3390/universe10090365
Mena Marugán GA, Vicente-Becerril A, Yébana Carrilero J. Comparing Analytic and Numerical Studies of Tensor Perturbations in Loop Quantum Cosmology. Universe. 2024; 10(9):365. https://doi.org/10.3390/universe10090365
Chicago/Turabian StyleMena Marugán, Guillermo A., Antonio Vicente-Becerril, and Jesús Yébana Carrilero. 2024. "Comparing Analytic and Numerical Studies of Tensor Perturbations in Loop Quantum Cosmology" Universe 10, no. 9: 365. https://doi.org/10.3390/universe10090365