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000442681 1001_ $$0P:(DE-H253)PIP1013967$$aDomcke, Valerie Fiona$$b0$$eCorresponding author
000442681 245__ $$aDeformation of the gravitational wave spectrum by density perturbations
000442681 260__ $$aLondon$$bIOP$$c2020
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000442681 500__ $$a30 pages, 8 figures; figure 3 replaced in v2; JCAP published version in v3
000442681 520__ $$aWe study the effect of primordial scalar curvature perturbations on the propagation of gravitational waves over cosmic distances. We point out that such curvature perturbations deform the isotropic spectrum of any stochastic background of gravitational waves of primordial origin through the (integrated) Sachs-Wolfe effect. Computing the changes in the amplitude and frequency of the propagating gravitational wave induced at linear order by scalar curvature perturbations, we show that the resulting deformation of each frequency bin of the gravitational wave spectrum is described by a linearly biased Gaussian with the variance σ2 ≃ ∫ d&ln; k Δ R2, where Δ; R2(k) denotes the amplitude of the primordial curvature perturbations. The linear bias encodes the correlations between the changes induced in the frequency and amplitude of the gravitational waves. Taking into account the latest bounds on Δ R2 from primordial black hole and gravitational wave searches, we demonstrate that the resulting  O(σ) deformation can be significant for extremely peaked gravitational wave spectra. We further provide an order of magnitude estimate for broad spectra, for which the net distortion is  O(σ2).
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000442681 650_7 $$2INSPIRE$$agravitational radiation: spectrum
000442681 650_7 $$2INSPIRE$$acurvature: perturbation
000442681 650_7 $$2INSPIRE$$acurvature: perturbation: scalar
000442681 650_7 $$2INSPIRE$$agravitational radiation: primordial
000442681 650_7 $$2INSPIRE$$agravitational radiation: induced
000442681 650_7 $$2INSPIRE$$agravitational radiation: propagation
000442681 650_7 $$2INSPIRE$$agravitational radiation: background
000442681 650_7 $$2INSPIRE$$acurvature: primordial
000442681 650_7 $$2INSPIRE$$adensity: perturbation
000442681 650_7 $$2INSPIRE$$acurvature: scalar
000442681 650_7 $$2INSPIRE$$ablack hole: primordial
000442681 650_7 $$2INSPIRE$$abackground: stochastic
000442681 650_7 $$2INSPIRE$$aSachs-Wolfe effect
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000442681 7001_ $$0P:(DE-H253)PIP1088210$$aJinno, Ryusuke$$b1$$eCorresponding author
000442681 7001_ $$0P:(DE-H253)PIP1081400$$aRubira, Henrique$$b2$$eCorresponding author$$udesy
000442681 773__ $$0PERI:(DE-600)2104147-7$$a10.1088/1475-7516/2020/06/046$$gVol. 2006, no. 06, p. 046 - 046$$n6$$p046 $$tJournal of cosmology and astroparticle physics$$v06$$x1475-7516$$y2020
000442681 7870_ $$0PUBDB-2020-00884$$aDomcke, Valerie et.al.$$d2020$$iIsParent$$rarXiv:2002.11083 ; DESY 20-029 ; DESY-20-029$$tDeformation of the gravitational wave spectrum by density perturbations
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