New Cosmic Microwave Background Constraint to Primordial Gravitational Waves

Primordial gravitational waves (GWs) with frequencies 10^-15 Hz contribute to the radiation density of the Universe at the time of decoupling of the cosmic microwave background (CMB). This affects the CMB and matter power spectra in a manner identical to massless neutrinos, unless the initial density perturbation for the GWs is nonadiabatic, as may occur if such GWs are produced during inflation or some post-inflation phase transition. In either case, current observations provide a constraint to the GW amplitude that competes with that from big-bang nucleosynthesis (BBN), although it extends to much lower frequencies (10^-15 Hz rather than the 10^-10 Hz from BBN): at 95% confidence level, ₆ₖh^28. 410^-6 for homogeneous (i. e. , nonadiabatic) initial conditions. Future CMB experiments, like Planck and CMBPol, should allow sensitivities to ₆ₖh^21. 410^-6 and ₆ₖh^2510^-7, respectively.