We study linear density perturbations in an extension of Newtonian cosmology. The extension includes warm dark matter and baryons. The effect of the warm dark matter particle thermal velocity is to prevent short wavelength perturbations from growing. We obtain the linear power spectrum relative to cold dark matter, prior to galaxy formation, for warm dark matter with a Maxwell or Bose-Einstein thermal velocity distribution. This prediction can be tested with precision weak gravitational lensing observations of the cosmic microwave background radiation.
References
[1]
Hoeneisen, B. (2024) Measurements of the Dark Matter Mass, Temperature and Spin. International Journal of Astronomy and Astrophysics, 14, 184-202. https://doi.org/10.4236/ijaa.2024.143012
[2]
Hoeneisen, B. (2023) Understanding the Formation of Galaxies with Warm Dark Matter. Journal of Modern Physics, 14, 1741-1754. https://doi.org/10.4236/jmp.2023.1413103
[3]
Hoeneisen, B. (2025) Discrepancies between Limits and Measurements of Warm Dark Matter Properties. International Journal of Astronomy and Astrophysics, 15, 65-79. https://doi.org/10.4236/ijaa.2025.152005
[4]
Hoeneisen, B. (2025) Why Do Galaxies Have Extended Flat Rotation Curves? International Journal of Astronomy and Astrophysics, 15, 1-10. https://doi.org/10.4236/ijaa.2025.151001
[5]
Feynman, R.P., Leighton, R.B. and Sands, M. (1965) The Feynman Lectures on Physics. Addison-Wesley Publishing Company.
[6]
Mistele, T., McGaugh, S., Lelli, F., Schombert, J. and Li, P. (2024) Indefinitely Flat Circular Velocities and the Baryonic Tully-Fisher Relation from Weak Lensing. arXiv: 2406.09685.
[7]
Hoeneisen, B. (2024) Are James Webb Space Telescope Observations Consistent with Warm Dark Matter? International Journal of Astronomy and Astrophysics, 14, 45-60. https://doi.org/10.4236/ijaa.2024.141003
[8]
Hoeneisen, B. (2022) Measurement of the Dark Matter Velocity Dispersion with Galaxy Stellar Masses, UV Luminosities, and Reionization. International Journal of Astronomy and Astrophysics, 12, 258-272. https://doi.org/10.4236/ijaa.2022.123015
[9]
Hoeneisen, B. (2025) Update to the “New Minimal Standard Model”. International Journal of Astronomy and Astrophysics, 15, 43-63. https://doi.org/10.4236/ijaa.2025.151004
[10]
Navas, S., et al. (2024) Review of Particle Physics. Physical Review D, 110, Article ID: 030001.
[11]
Weinberg, S. (2008) Cosmology. Oxford University Press.
[12]
Boyanovsky, D., de Vega, H.J. and Sanchez, N.G. (2008) Dark Matter Transfer Function: Free Streaming, Particle Statistics, and Memory of Gravitational Clustering. Physical Review D, 78, Article ID: 063546. https://doi.org/10.1103/physrevd.78.063546
[13]
Boyanovsky, D. (2007) Free Streaming in Mixed Dark Matter. arXiv: 0711.0470.
[14]
Paduroiu, S., Revaz, Y. and Pfenniger, D. (2015) Structure Formation in Warm Dark Matter Cosmologies Top-Bottom Upside-Down. arXiv: 1506.03789.
[15]
Chabanier, S., Millea, M. and Palanque-Delabrouille, N. (2019) Matter Power Spectrum: From Ly Α Forest to CMB Scales. Monthly Notices of the Royal Astronomical Society, 489, 2247-2253. https://doi.org/10.1093/mnras/stz2310
[16]
MacInnis, A. and Sehgal, N. (2024) CMB-HD as a Probe of Dark Matter on Sub-Galactic Scales. arXiv: 2405.12220.
[17]
Viel, M., Lesgourgues, J., Haehnelt, M.G., Matarrese, S. and Riotto, A. (2005) Constraining Warm Dark Matter Candidates Including Sterile Neutrinos and Light Gravitinos with WMAP and the Lyman-α Forest. Physical Review D, 71, Article ID: 063534. https://doi.org/10.1103/physrevd.71.063534
[18]
Song, M., Finkelstein, S.L., Ashby, M.L.N., Grazian, A., Lu, Y., Papovich, C., et al. (2016) The Evolution of the Galaxy Stellar Mass Function at : A Steepening Low-Mass-End Slope with Increasing Redshift. The Astrophysical Journal, 825, Article 5. https://doi.org/10.3847/0004-637x/825/1/5
[19]
Bouwens, R.J., et al. (2021) New Determinations of the Luminosity Functions from to show Remarkable Consistency with Halo Growth and a Constant Star Formation Efficiency. arXiv: 2102.07775v1. https://arxiv.org/pdf/2102.07775.pdf
[20]
Lapi, A., Mancuso, C., Bressan, A. and Danese, L. (2017) Stellar Mass Function of Active and Quiescent Galaxies via the Continuity Equation. The Astrophysical Journal, 847, Article 13. https://doi.org/10.3847/1538-4357/aa88c9
[21]
Navarro-Carrera, R., Rinaldi, P., Caputi, K.I., Iani, E., Kokorev, V. and van Mierlo, S. (2023) Constraints on the Faint End of the Galaxy Stellar Mass Function at from Deep JWST Data. arXiv: 2305.16141.
