Effective equations for isotropic quantum cosmology including matter

Abstract

Effective equations often provide powerful tools to develop a systematic understanding of detailed properties of a quantum system. This is especially helpful in quantum cosmology where several conceptual and technical difficulties associated with the full quantum equations can be avoided in this way. Here, effective equations for Wheeler-DeWitt and loop quantizations of spatially flat, isotropic cosmological models sourced by a massive or interacting scalar are derived and studied. The resulting systems are remarkably different from that given for a free, massless scalar. This has implications for the coherence of evolving states and the realization of a bounce in loop quantum cosmology.

42 pages

References in corpus (8)

• Lattice refining loop quantum cosmology, anisotropic models and stability
• Dynamical coherent states and physical solutions of quantum cosmological bounces
• Loop Quantum Gravity and the Cyclic Universe
• Phantom field dynamics in loop quantum cosmology
• Singularities and Quantum Gravity
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Cited by in corpus (7)

• Loop quantum gravity corrections to gravitational wave dispersion
• Cosmological vector modes and quantum gravity effects
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• How quantum is the big bang?
• Harmonic cosmology: How much can we know about a universe before the big bang?
• Recollapsing quantum cosmologies and the question of entropy
• Loop Quantum Cosmology: Effective theories and oscillating universes