Adiabatic and non-adiabatic perturbations for loop quantum cosmology
arXiv:1111.3179 · doi:10.1103/PhysRevD.85.023515
Abstract
We generalize the perturbations theory of loop quantum cosmology to a hydrodynamical form and define an effective curvature perturbation on an uniform density hypersurfaces . As in the classical cosmology, should be gauge-invariant and conservation on the large scales. The evolutions of both the adiabatic and the non-adiabatic perturbations for a multi-fluids model are investigated in the framework of the effective hydrodynamical theory of loop quantum cosmology with the inverse triad correction. We find that, different from the classical cosmology, the evolution of the large-scales non-adiabatic entropy perturbation can be driven by an adiabatic curvature perturbation and this adiabatic source for the non-adiabatic perturbation is a quantum effect. As an application of the related formalism, we study a decay model and give out the numerical results.
10 pages, 3 figures
References in corpus (13)
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Anomaly freedom in perturbative loop quantum gravity
- Loop quantum gravity corrections to gravitational wave dispersion
- Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
- Formation and Evolution of Structure in Loop Cosmology
- Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
- Cosmological vector modes and quantum gravity effects
- A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
- Action approach to cosmological perturbations: the 2nd order metric in matter dominance
- Inflationary observables in loop quantum cosmology
- How loopy is the quantum bounce? A heuristic analysis of higher order holonomy corrections in LQC
- Application of higher order holonomy corrections to perturbation theory of cosmology