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Phys. Rev. D 74, 123512 (2006) [13 pages]

Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

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Martin Bojowald*, Mikhail Kagan, and Parampreet Singh
Institute for Gravitational Physics and Geometry, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA

Hector H. Hernández§ and Aureliano Skirzewski**
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam, Germany

Received 26 September 2006; published 15 December 2006

Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties in the calculation and choice of gauges are pointed out. Nevertheless, the treatment is more systematic when correction terms of canonical quantum gravity are to be included. This is done throughout the paper for one example of characteristic modifications expected from loop quantum gravity.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.123512
DOI:
10.1103/PhysRevD.74.123512
PACS:
98.80.Cq, 04.60.Pp, 98.80.Bp

*Electronic address: bojowald@gravity.psu.edu

Electronic address: mak411@psu.edu

Electronic address: singh@gravity.psu.edu

§Electronic address: hehe@aei.mpg.de

**Electronic address: skirz@aei.mpg.de