Relic Gravitational Waves in the Accelerating Universe

Abstract

Observations have recently indicated that the Universe at the present stage is in an accelerating expansion, a process that has great implications. We evaluate the spectrum of relic gravitational waves in the current accelerating Universe and find that there are new features appearing in the resulting spectrum as compared to the decelerating models. In the low frequency range the peak of spectrum is now located at a frequency ${\nu }_E\simeq (\frac{{\Omega }_m}{{\Omega }_{\Lambda }}{)}^{1/3}{\nu }_H$, where ${\nu }_H$ is the Hubble frequency, and there appears a new segment of spectrum between ${\nu }_E$ and ${\nu }_H$. In all other intervals of frequencies $\ge {\nu }_H$, the spectral amplitude acquires an extra factor $\frac{{\Omega }_m}{{\Omega }_{\Lambda }}$, due to the current acceleration, otherwise the shape of spectrum is similar to that in the decelerating models. The recent WMAP result of CMB anisotropies is used to normalize the amplitude for gravitational waves. The slope of the power spectrum depends sensitively on the scale factor $a(\tau )\propto |\tau {|}^{1+\beta }$ during the inflationary stage with $\beta =-2$ for the exact de Sitter space. With the increasing of $\beta$, the resulting spectrum is tilted to be flatter with more power on high frequencies, and the sensitivity of the second science run of the LIGO detectors puts a restriction on the parameter $\beta \le -1.8$. We also give a numerical solution which confirms these features.

14 pages, 3 figures, submitted to Class. Quant. Grav

References in corpus (10)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmic Triangle: Revealing the State of the Universe
• Sensitivity curves for spaceborne gravitational wave interferometers
• Reheating After Quintessential Inflation and Gravitational Waves
• Quintessence and Gravitational Waves
• Analysis of First LIGO Science Data for Stochastic Gravitational Waves
• The Implications of the Microwave Background Anisotropies for Laser-Interferometer-Tested Gravitational Waves
• The Stochastic Gravitational-Wave Background and the Inflation to Radiation Transition in the Early Universe

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