Parametric Resonance and Cosmological Gravitational Waves

Abstract

We investigate the production of gravitational waves due to quantum fluctuations of the vacuum during the transition from the inflationary to the radiation-dominated eras of the universe, assuming this transition to be dominated by the phenomenon of parametric resonance. The energy spectrum of the gravitational waves is calculated using the method of continuous Bogoliubov coefficients, which avoids the problem of overproduction of gravitons at large frequencies. We found, on the sole basis of the mechanism of quantum fluctuations, that the resonance field leaves no explicit and distinctive imprint on the gravitational-wave energy spectrum, apart an overall upward or downward translation. Therefore, the main features in the spectrum are due to the inflaton field, which leaves a characteristic imprint at frequencies of the order of MHz/GHz.

8 pages, 7 figures

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Cited by in corpus (16)

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• Unification of inflation, dark energy, and dark matter within the Salam-Sezgin cosmological model
• Stochastic gravitational waves from a new type of modified Chaplygin gas
• Cosmological Imprints of a Generalized Chaplygin Gas Model for the Early Universe
• Relativistic viscous effects on the primordial gravitational waves spectrum
• Gravitational wave generation in hybrid quintessential inflationary models
• Gravitational wave generation in power-law inflationary models
• Gravitational wave generation in loop quantum cosmology
• Dependence of the amplitude of gravitational waves from preheating on the inflationary energy scale
• Reheating induced by competing decay modes
• Gravitational waves from two scalar fields unifying the dark sector with inflation
• Parametric amplification of electromagnetic plasma waves in resonance with a dispersive background gravitational wave
• Characterization of the energy level-structure of a trapped dipolar Bose gas via mean-field parametric resonances
• Gravitational waves from warm inflation in the weak dissipative regime
• Gravitational waves from resonant amplification of curvature perturbations during inflation