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Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology

Abstract : We investigate vector perturbations with holonomy corrections in the framework of loop quantum cosmology. Conditions to achieve anomaly freedom for these perturbations are found at all orders. This requires the introduction of counter-terms in the hamiltonian constraint. We also show that anomaly freedom requires the diffeomorphism constraint to hold its classical form when matter is added. The gauge-invariant variable and the corresponding equation of motion are derived. The propagation of vector modes through the bounce is finally discussed.
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http://hal.in2p3.fr/in2p3-00601908
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, June 21, 2011 - 8:17:01 AM
Last modification on : Thursday, November 19, 2020 - 12:58:19 PM

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J. Mielczarek, T. Cailleteau, A. Barrau, J. Grain. Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology. Classical and Quantum Gravity, IOP Publishing, 2012, 29, pp.085009. ⟨10.1088/0264-9381/29/8/085009⟩. ⟨in2p3-00601908⟩

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