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Gauge-invariant tensor perturbations induced from baryon-CDM relative velocity and the B-mode polarization of the CMB

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Title
Gauge-invariant tensor perturbations induced from baryon-CDM relative velocity and the B-mode polarization of the CMB
Author(s)
James Gurian; Donghui Jeong; Jai-chan Hwang; Hyerim Noh
Publication Date
2021-10-20
Journal
Physical Review D, v.104, no.8
Publisher
American Physical Society
Abstract
© 2021 American Physical Society. At second order, scalar perturbations can source traceless and transverse perturbations to the metric, called induced gravitational waves (IGWs). The apparent gauge dependence of the IGWs obscures the interpretation of the stochastic gravitational wave signal. To elucidate the gauge dependence, we study the IGWs from manifestly gauge-invariant scalar perturbations-namely, the relative velocity between baryons and cold dark matter. From this relative velocity perturbation, we compute the dimensionless gravitational wave power spectrum and the corresponding expected angular power spectrum of the B-mode polarization of the cosmic microwave background. Although the effect turns out to be unobservably small, the calculation demonstrates both the importance of using observable quantities to remove the gauge ambiguity and the observable consequences of tensor perturbations which are not propagating gravitational waves.
URI
https://pr.ibs.re.kr/handle/8788114/10847
DOI
10.1103/PhysRevD.104.083534
ISSN
2470-0010
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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