Primeval Adiabatic Perturbation in an Expanding Universe
Abstract
The general qualitative behavior of linear, first-order density perturbations in a Friedmann-Lemaitre cosmological model with radiation and matter has been known for some time in the various limiting situations. An exact quantitative calculation which traces tbe entire history of the density fluctuations is lacking because the usual approximations of a very short photon mean free path before plasma recombination, and a very long mean free path after, are inadequate. We present here results of the direct integration of the collision equation of the photon distribution function, which enable us to treat in detail the complicated regime of plasma recombination. Starting from an assumed initial power spectrum well before recombination, we obtain a final spectrum of density perturbations after recombination. The calculations are carried out for several general-relativity models and one scalar-tensor model. One can identify two characteristic masses in the final power spectrum: one is the mass within the Hubble radius ct at recombination, and the other results from the linear dissipation of the perturbations prior to recombination. Conceivably the first of these numbers is associated with the great rich clusters of galaxies, the second with the large galaxies. We compute also the expected residual irregularity in the radiation from the primeval fireball. If we assume that (1) the rich clusters formed from an initially adiabatic perturbation and (2) the fireball radiation has not been seriously perturbed after the epoch of recombination of the primeval plasma, then with an angular resolution of t minute of arc the rms fluctuation in antenna temperature should be at least T7T = 0.00015.
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The primordial fluctuations would be scale invariant and described by a power spectrum.
“These primordial fluctuations would be scale invariant and described by the power spectrum (Harrison 1970; Peebles and Yu 1970; Zeldovich 1972)48with .”
From Testing general relativity in cosmology (2019) · cites this paper as Peebles and Yu 1970
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“The radiation pressure drives sound-waves originating from overdensities in the matter distribution (Peebles & Yu 1970; ⋆ E-mail: florian.beutler@icrar.org Sunyaev & Zeldovich 1970; Bond & Efstathiou 1987).”
BackgroundIn the realm of the Hubble tension—a review of solutions <sup>*</sup>
Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065 · see citing works
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“The temperature and polarization power spectra of the CMB depend on the dynamics of recombination through the ionization history, which defines the Thomson visibility function and last scattering surface (e.g., Sunyaev & Zeldovich 1970; Peebles & Yu 1970; Hu & Sugiyama 1996).”
MethodBernal, J. L., Smith, T. L., Boddy, K. K., & Kamionkowski, M. (2020) · Physical Review D · doi:10.1103/physrevd.102.123515 · Cited by 69 · see citing works
Zhan, H., Knox, L., & Tyson, J. A. (2009) · The Astrophysical Journal · doi:10.1088/0004-637x/690/1/923 · Cited by 67 · see citing works
Cosmic tomographies: baryon acoustic oscillations and weak lensing
Zhan, H. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/08/008 · Cited by 60 · see citing works
Abdalla, E., Abellán, G. F., Aboubrahim, A., Agnello, A., Akarsu, Ö., Akrami, Y., Alestas, G., Aloni, D., Amendola, L., Anchordoqui, L. A., et al. (2022) · Journal of High Energy Astrophysics · doi:10.1016/j.jheap.2022.04.002 · Cited by 37 · see citing works
- Authors
- Peebles, P. J. E., & Yu, J. T.
- ORCID
- Peebles, P. J. E.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1970-12
- Volume
- 162
- Pages
- 815
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2122083363
- Cited by
- 1,230
- References
- 0
- Citations by year
- 2026: 14 · 2025: 49 · 2024: 52 · 2023: 40 · 2022: 50 · 2021: 56 · 2020: 47 · 2019: 52 · 2018: 59 · 2017: 40 · 2016: 47 · 2015: 42 · 2014: 43 · 2013: 40 · 2012: 49
- FWCI
- 0.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Astrophysical Journal (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- adiabatic perturbations, density perturbations, plasma recombination, photon mean free path, photon distribution function, power spectrum, FRW cosmology, scalar-tensor cosmology, Hubble radius, linear dissipation, galaxy clusters, cosmic microwave background anisotropies
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