Loop quantum gravity corrections to gravitational wave dispersion

Details Loop quantum gravity corrections to gravitational wave dispersion Loop quantum gravity corrections to gravitational wave dispersion

2007-09-14

arxiv.org/abs/0709.2365v1

Phys.Rev.D77:023508,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1103/PhysRevD.77.023508

Cosmological tensor perturbations equations are derived for Hamiltonian cosmology based on Ashtekar's formulation of general relativity, including typical quantum gravity effects in the Hamiltonian constraint as they are expected from loop quantum gravity. This translates to corrections of the dispersion relation for gravitational waves. The main application here is the preservation of causality which is shown to be realized due to the absence of anomalies in the effective constraint algebra used.

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