An Exact Calculation of the Energy Density of Cosmological Gravitational Waves

Abstract

In this paper we calculate the Bogoliubov coefficients and the energy density of the stochastic gravitational wave background for a universe that undergoes inflation followed by radiation domination and matter domination, using a formalism that gives the Bogoliubov coefficients as continous functions of time. By making a reasonable assumption for the equation of state during reheating, we obtain in a natural way the expected high frequency cutoff in the spectral energy density.

12 pages+5 figures, uuencoded file,DF/IST-2.94

References in corpus (3)

• Can the Gravitational Wave Background from Inflation be Detected Locally?
• Cosmological Evolution of Scale-invariant Gravity Waves
• CBR Anisotropy from Primordial Gravitational Waves in Two-Component Inflationary Cosmology

Cited by in corpus (18)

• Spectral separation of the stochastic gravitational-wave background for LISA: observing both cosmological and astrophysical backgrounds
• Spectral separation of the stochastic gravitational-wave background for LISA in the context of a modulated Galactic foreground
• Gravitational Wave Spectrums from Pole-like Inflations based on Generalized Gravity Theories
• The Stochastic Gravitational-Wave Background and the Inflation to Radiation Transition in the Early Universe
• 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
• Vacuum and Gravitons of Relic Gravitational Waves, and Regularization of Spectrum and Energy-Momentum Tensor
• Cosmological Imprints of a Generalized Chaplygin Gas Model for the Early Universe
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• Parametric Resonance and Cosmological Gravitational Waves
• The interacting multiverse and its effect on the cosmic microwave background
• Early cosmology and the stochastic gravitational wave background
• Gravitational wave generation in hybrid quintessential inflationary models
• Gravitational wave generation in power-law inflationary models
• Gravitational wave generation in loop quantum cosmology
• Pre-inflation from the multiverse: Can it solve the quadrupole problem in the cosmic microwave background?
• Gravitational waves from two scalar fields unifying the dark sector with inflation
• Gravitational waves from warm inflation in the weak dissipative regime