Journal Article

PUBDB-2020-03179

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Deformation of the gravitational wave spectrum by density perturbations

Domcke, V. F. (Corresponding author)DESY* ; Jinno, R. (Corresponding author)DESY* ; Rubira, H. (Corresponding author)DESY*

2020
IOP London

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Please use a persistent id in citations: doi:10.1088/1475-7516/2020/06/046  doi:10.3204/PUBDB-2020-03179

Report No.: DESY-20-029; arXiv:2002.11083

Abstract: We 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).

Keyword(s): gravitational radiation: spectrum ; curvature: perturbation ; curvature: perturbation: scalar ; gravitational radiation: primordial ; gravitational radiation: induced ; gravitational radiation: propagation ; gravitational radiation: background ; curvature: primordial ; density: perturbation ; curvature: scalar ; black hole: primordial ; background: stochastic ; Sachs-Wolfe effect

Note: 30 pages, 8 figures; figure 3 replaced in v2; JCAP published version in v3

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2020

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Database coverage:
; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Domcke, V.DESY* ; Jinno, R.DESY* ; Rubira, H.DESY*
Deformation of the gravitational wave spectrum by density perturbations
[10.3204/PUBDB-2020-00884]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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