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Damping of tensor modes in cosmology
Open accessAbstract
An analytic formula is given for the traceless transverse part of the anisotropic stress tensor due to free streaming neutrinos, and used to derive an integro-differential equation for the propagation of cosmological gravitational waves. The solution shows that anisotropic stress reduces the squared amplitude by 35.6% for wavelengths that enter the horizon during the radiation-dominated phase, independent of any cosmological parameters. This decreases the tensor temperature and polarization correlation functions for these wavelengths by the same amount. The effect is less for wavelengths that enter the horizon at later times. At the longest wavelengths the decrease in the tensor correlation functions due to neutrino free streaming ranges from 10.7% for ${\ensuremath{\Omega}}_{M}{h}^{2}=0.1$ to 9.0% for ${\ensuremath{\Omega}}_{M}{h}^{2}=0.15.$ An appendix gives a general proof that tensor as well as scalar modes satisfy a conservation law for perturbations outside the horizon, even when the anisotropic stress tensor is not negligible.
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Cites
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Cosmological backgrounds of gravitational waves
Caprini, C., & Figueroa, D. G. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aac608 · Cited by 931
Gravitational wave spectrum induced by primordial scalar perturbations
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Gravitational Waves Induced by Non-Gaussian Scalar Perturbations
Cai, R.-G., Pi, S., & Sasaki, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.201101 · Cited by 435
The Quest for B Modes from Inflationary Gravitational Waves
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Probing the early universe with inflationary gravitational waves
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Metadata
- Authors
- Weinberg, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2004-01-15
- Volume
- 69
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2135160293
- Cited by
- 294
- References
- 17
- FWCI
- 5.12
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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