Application of higher order holonomy corrections to perturbation theory of cosmology

Details Application of higher order holonomy corrections to perturbation theory of cosmology Application of higher order holonomy corrections to perturbation theory of cosmology

2011-02-14

arxiv.org/abs/1102.2720v1

Class.Quant.Grav.28:045007,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figures

Scientific paper

10.1088/0264-9381/28/4/045007

Applying the higher order holonomy corrections to the perturbation theory of cosmology, the lattice power law of Loop Quantum Cosmology, $\tilde{\mu}\propto p^{\beta}$, is analysed and the range of $\beta$ is decided to be [-1,0] which is different from the conventional range $-0.1319>\beta\geq-5/2$ \cite{lqct}. At the same time, we find that there is a anomaly free condition in this theory, and we obtain this condition in the vector and tensor mode. We also find that the nonzero mass of gravitational wave essentially results from the quantum nature of Riemannian geometry of loop quantum gravity.

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