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Phys. Rev. D 77, 023508 (2008) [14 pages]

Loop quantum gravity corrections to gravitational wave dispersion

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Martin Bojowald* and Golam Mortuza Hossain
Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA

Received 17 September 2007; published 11 January 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.023508
DOI:
10.1103/PhysRevD.77.023508
PACS:
98.80.Cq, 04.60.Pp, 98.80.Bp

*bojowald@gravity.psu.edu

hossain@gravity.psu.edu