Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

Martin Bojowald, Mikhail Kagan, Parampreet Singh, Hector H. Hernández, and Aureliano Skirzewski
Phys. Rev. D 74, 123512 – Published 15 December 2006

Abstract

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.

  • Figure
  • Received 26 September 2006

DOI:https://doi.org/10.1103/PhysRevD.74.123512

©2006 American Physical Society

Authors & Affiliations

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

  • *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

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Issue

Vol. 74, Iss. 12 — 15 December 2006

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