https://doi.org/10.1140/epjc/s10052-023-11803-5
Regular Article - Theoretical Physics
Cosmological perturbations engendered by discrete relativistic species
1
Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029, Blindern, 0315, Oslo, Norway
2
Department of Physics, Istanbul Technical University, Maslak, 34469, Istanbul, Turkey
3
Center for Advanced Systems Understanding (CASUS), 02826, Görlitz, Germany
4
Helmholtz-Zentrum Dresden-Rossendorf, 01328, Dresden, Germany
5
Department of Mathematics and Physics, North Carolina Central University, 1801 Fayetteville St., 27707, Durham, NC, USA
Received:
8
June
2023
Accepted:
30
June
2023
Published online:
12
July
2023
Within the extension of the CDM model, allowing for the presence of neutrinos or warm dark matter, we develop the analytical cosmological perturbation theory. It covers all spatial scales where the weak gravitational field regime represents a valid approximation. Discrete particles – the sources of the inhomogeneous gravitational field – may be relativistic. Similarly to the previously investigated case of nonrelativistic matter, the Yukawa interaction range is naturally incorporated into the first-order scalar metric corrections.
© The Author(s) 2023
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