Third-order scalar-tensor correlations suppress the induced gravitational wave background, and some of these new contributions diverge in the ultraviolet.
Vector modes generated by primordial density fluctuations
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While vector modes are usually ignored in cosmology since they are not produced during inflation they are inevitably produced from the interaction of density fluctuations of differing wavelengths. This effect may be calculated via a second-order perturbative expansion. We investigate this effect during the radiation era. We discuss the generation mechanism by investigating two scalar modes interacting, and we calculate the power of vector modes generated by a power-law spectrum of density perturbations on all scales.
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Suppression of the induced gravitational wave background due to third-order perturbations
Third-order scalar-tensor correlations suppress the induced gravitational wave background, and some of these new contributions diverge in the ultraviolet.