Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

Aureliano Skirzewski; Hector H. Hern\'andez; Martin Bojowald; Mikhail Kagan; Parampreet Singh

arxiv: gr-qc/0609057 · v2 · submitted 2006-09-15 · 🌀 gr-qc · astro-ph· hep-ph

Hamiltonian cosmological perturbation theory with loop quantum gravity corrections

Martin Bojowald , Hector H. Hern\'andez , Mikhail Kagan , Parampreet Singh , Aureliano Skirzewski This is my paper

classification 🌀 gr-qc astro-phhep-ph

keywords gravityquantumcanonicalcosmologicalloopperturbationashtekarcalculation

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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 characteristic modification expected from loop quantum gravity.

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Loop quantum cosmology models harbor physical singularities or inconsistent space-time structures, with a new effective Friedmann equation revealing a sub-Planckian bounce after a singularity at infinite scale factor ...