Variational Methods in Loop Quantum Cosmology

Abstract

An action functional for the loop quantum cosmology difference equation is presented. It is shown that by guessing the general form of the solution and optimizing the action functional with respect to the parameters in the guessed solution one can obtain approximate solutions which are reasonably good.

To appear in EuroPhysics Letters

References in corpus (8)

• Absence of Singularity in Loop Quantum Cosmology
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Inflation from Quantum Geometry
• The Semiclassical Limit of Loop Quantum Cosmology
• Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
• Causal Loop Quantum Gravity and Cosmological Solutions
• Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology

Cited by in corpus (3)

• Inflationary scalar spectrum in loop quantum cosmology
• Causal loop quantum cosmology in momentum space
• Conserved quantities in isotropic loop quantum cosmology