Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 29, Issue 3, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271820500285
Keywords
Early universe; Cosmology; induced gravitational waves; stochastic gravitational wave background; primordial black holes
Categories
Funding
- DFG Collaborative Research center SFB 1225 (ISO-QUANT)
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Gravitational waves (GWs) are inevitably produced by second-order terms in cosmological perturbation theory. Most notably, the so-called induced (GWs) are a window to the small scales part of the primordial spectrum of fluctuations and a key counterpart to the primordial black hole (PBH) scenario. However, semi-analytical solutions are only known for matter and radiation domination eras. In this paper, we present new analytic integral formulas for the induced GWs on subhorizon scales in a general cosmological background with a constant equation-of-state. We also discuss applications to a peaked primordial scalar power spectrum and the PBH scenario.
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