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Formation and Evolution of Structure in Loop Cosmology
Martin Bojowald, Hector Hernandez, Mikhail Kagan +2
Inhomogeneous cosmological perturbation equations are derived in loop quantum gravity, taking into account corrections in particular in gravitational parts. This provides a framewo…
Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
Martin Bojowald, Hector H. Hernández, Mikhail Kagan +2
Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties…
Quantum Nature of the Big Bang: Improved dynamics
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then st…
Non-Singular Bouncing Universes in Loop Quantum Cosmology
Parampreet Singh, Kevin Vandersloot, G. V. Vereshchagin
Non-perturbative quantum geometric effects in Loop Quantum Cosmology predict a modification to the Friedmann equation at high energies. The quadratic term is negative definit…
Avoidance of future singularities in loop quantum cosmology
M. Sami, Parampreet Singh, Shinji Tsujikawa
We consider the fate of future singularities in the effective dynamics of loop quantum cosmology. Non-perturbative quantum geometric effects which lead to modification of the…
Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh
Analytical and numerical methods are developed to analyze the quantum nature of the big bang in the setting of loop quantum cosmology. They enable one to explore the effects of qua…