Perturbative Evolution in Effective Loop Quantum Cosmology

Mathematics – Mathematical Physics

Scientific paper

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Perturbation Theory, Space Time Model, Quantum Gravity, Cosmology, Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Quantum Field Theory In Curved Spacetime, Phenomenology Of Quantum Gravity, Observational Cosmology

Scientific paper

In this work we present a study of the evolution of two models in Loop Quantum Cosmology, one corresponding to an homogeneous isotropic model with an interacting matter field and other with a positive cosmological constant. We show that an adiabatic approximation in a perturbative scheme is in general not consistent and work out a more general setting by means of effective Loop Quantum Cosmology (LQC).

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