Approximate pre-classical solutions in loop quantum cosmology

Abstract

In this paper we introduce a numerical approximation technique to obtain pre-classical solutions to models of loop quantum gravity. In particular, we apply the technique to vacuum Bianchi I cosmological models and recover known solutions. We also present a pre-classical solution to the Bianchi I LRS model with cosmological constant, which has not appeared elsewhere.

10 pages, 5 figures

References in corpus (3)

• Genericness of inflation in isotropic loop quantum cosmology
• Discreteness Corrections to the Effective Hamiltonian of Isotropic Loop Quantum Cosmology
• Absence of pre-classical solutions in Bianchi I loop quantum cosmology

Cited by in corpus (9)

• Loop Quantum Cosmology
• Numerical loop quantum cosmology: an overview
• Perturbative Degrees of Freedom in Loop Quantum Gravity: Anisotropies
• Numerical solutions to lattice-refined models in loop quantum cosmology
• Numerical Techniques in Loop Quantum Cosmology
• Instabilities in numerical loop quantum cosmology
• An Approach to Loop Quantum Cosmology Through Integrable Discrete Heisenberg Spin Chains
• Basis Function Method for Numerical Loop Quantum Cosmology: The Schwarzschild Black Hole Interior
• Space-Time Collocation Method: Loop Quantum Hamiltonian Constraints