Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
arXiv:1607.07107 · doi:10.1103/PhysRevD.94.044004
Abstract
We extend the scalar-tensor reconstruction techniques for classical cosmology frameworks, in the context of loop quantum cosmology. After presenting in some detail how the equations are generalized in the loop quantum cosmology case, we discuss which new features and limitations does the quantum framework brings along, and we use various illustrative examples in order to demonstrate how the method works. As we show the energy density has two different classes of solutions, and one of these yields the correct classical limit while the second captures the quantum phenomena. We study in detail the scalar tensor reconstruction method for both these solutions. Also we discuss some scenarios for which the Hubble rate becomes unbounded at finite time, which corresponds for example in a case that a Big Rip occurs. As we show this issue is non-trivial and we discuss how this case should be treated in a consistent way. Finally, we investigate how the classical stability conditions for the scalar-tensor solutions are generalized in the loop quantum framework.
PRD Accepted
References in corpus (17)
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Inflationary cosmology in modified gravity theories
- Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
- Are loop quantum cosmos never singular?
- Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
- Avoidance of future singularities in loop quantum cosmology
- Bouncing Cosmologies in Palatini Gravity
- Matter creation in a nonsingular bouncing cosmology
- Matter Bounce Loop Quantum Cosmology from Gravity
- Non-singular bounce scenarios in loop quantum cosmology and the effective field description
- Exact solutions for Big Bounce in loop quantum cosmology
- Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results
- Singularities in loop quantum cosmology
- Reconstruction of Scalar Potentials in Modified Gravity Models
- Reconstruction of scalar potentials in two-field cosmological models