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Universal infrared scaling of gravitational wave background spectra

We study the general infrared behavior of the power spectrum of a stochastic gravitational wave background produced by stress tensor in the form bilinear in certain dynamical degrees of freedom. We find ΩGW ∝ k3 for a very wide class of the sources which satisfy a set of reasonable conditions. Namel...

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Bibliographic Details
Published in:Physical review. D 2020-10, Vol.102 (8), Article 083528
Main Authors: Cai, Rong-Gen, Pi, Shi, Sasaki, Misao
Format: Article
Language:English
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Summary:We study the general infrared behavior of the power spectrum of a stochastic gravitational wave background produced by stress tensor in the form bilinear in certain dynamical degrees of freedom. We find ΩGW ∝ k3 for a very wide class of the sources which satisfy a set of reasonable conditions. Namely, the k3 scaling is universally valid when the source term is bounded in both frequency and time, is effective in a radiation-dominated stage, and for k smaller than all the physical scales associated with the source, like the peak frequency, peak width, and time duration, etc. We also discuss possible violations of these conditions and their physical implications.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.083528