Gravitational waves from the Big Bounce

Abstract

In this paper we investigate gravitational waves production during the Big Bounce phase inspired by the Loop Quantum Cosmology. We consider the influence of the holonomy corrections to the equation for tensor modes. We show that they act like additional effective graviton mass, suppressing gravitational waves creation. However, this effects can be treated perturbatively. We investigate the simplified model without these corrections and find its exact analytical solution. For this model we calculate a spectrum of the gravitational waves from the Big Bounce phase. The obtained spectrum decreases to zero for the low energy modes. Based on this observation we indicate that this effect can lead to the low CMB multipoles suppression and gives a potential way to test Loop Quantum Cosmology models. We also consider a scenario with a post-bounce inflationary phase. The obtained power spectrum gives qualitative explanation of the CMB spectra, including low multipoles suppression. This result is a challenge to construct a consistent bounce+inflation model in the Loop Quantum Cosmology.

19 pages, 9 figures

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• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• Evolution of Metric Perturbations in Quintom Bounce model
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• Observational test of inflation in loop quantum cosmology
• Hybrid quantization of an inflationary model: The flat case
• Consistent Loop Quantum Cosmology
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• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
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• Statistical Thermodynamics of Polymer Quantum Systems
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• Loop Quantum Gravity and Cosmology: A dynamical introduction
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• Thermal gravitational-wave background in the general pre-inflationary scenario
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• Inflationary spectra and observations in loop quantum cosmology
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• A note on testing pre-inflationary times with gravitational-waves
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