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Theory Physics Department, Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia

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High Energy Leptons & Neutrino Astrophysics Department, Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia

E-mail Address: pc_mouse@mail.ru

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https://doi.org/10.1142/S0217751X25400020Cited by:0 (Source: Crossref)

Abstract

Cosmological particle production within the framework of induced gravity is investigated at the phenomenological level. It turns out that the conformal invariance of the “creation law” imposes quite strict restrictions on the possible types of sources. It is shown that terms with the particle number density in the “creation law” can be interpreted as dark matter. The action under consideration is reduced to the Einstein–Hilbert action with the classical scalar field for a certain gauge, which in turn reduces to $f (R)$ $f (R)$ -gravity with $f (R) \propto R^{\frac{3}{2}}$ $f (R) \propto R^{\frac{3}{2}}$ .

Keywords:

PACS: 02.40.Ky, 04.20.Fy, 04.50.Kd

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References

1. L. Parker , Phys. Rev. 183, 1057 (1969). Crossref, Web of Science, ADS, Google Scholar
2. A. A. Grib and S. G. Mamaev , Sov. J. Nucl. Phys. 10, 722 (1970). Web of Science, Google Scholar
3. Ya. B. Zel’dovich and L. P. Pitaevsky , Commun. Math. Phys. 23, 185 (1971). Crossref, Web of Science, ADS, Google Scholar
4. B. L. Hu, S. A. Fulling and L. Parker , Phys. Rev. D 8, 2377 (1973). Crossref, Web of Science, ADS, Google Scholar
5. B. L. Hu, S. A. Fulling and L. Parker , Phys. Rev. D 10, 3905 (1974). Crossref, Web of Science, ADS, Google Scholar
6. S. A. Fulling and L. Parker , Ann. Phys. D 87, 176 (1974). Google Scholar
7. Ya. B. Zel’dovich and A. A. Starobinsky , Sov. Phys. JETP 34, 1159 (1972). ADS, Google Scholar
8. Ya. B. Zel’dovich , JETP Lett. 12, 307 (1970). Web of Science, ADS, Google Scholar
9. V. N. Lukash and A. A. Starobinsky , Sov. Phys. JETP 39, 742 (1974). ADS, Google Scholar
10. Ya. B. Zel’dovich and A. A. Starobinskii , JETP Lett. 26, 252 (1977). Web of Science, ADS, Google Scholar
11. A. D. Sakharov , Dokl. Akad. Nauk Ser. Fiz. 177, 70 (1967). Web of Science, ADS, Google Scholar
12. J. R. Ray , J. Math. Phys. 13, 1451 (1972). Crossref, Web of Science, ADS, Google Scholar
13. V. A. Berezin , Int. J. Mod. Phys. A 2, 1591 (1987). Link, Web of Science, ADS, Google Scholar
14. V. A. Berezin and I. D. Ivanova , Universe 10, 147 (2024). Crossref, Web of Science, ADS, Google Scholar
15. J. O’Hanlon , Phys. Rev. Lett. 29, 137 (1972). Crossref, Web of Science, ADS, Google Scholar