Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
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arXiv
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| Natura: | Preprint |
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2020
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| _version_ | 1866910788562714624 |
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| author | Fomin, I. V. Chervon, S. V. |
| author_facet | Fomin, I. V. Chervon, S. V. |
| contents | We investigate an ability of the exponential power-law inflation to be phenomenologically correct model of the early universe. GR scalar cosmology equations we study in Ivanov-Salopek-Bond (or Hamilton-Jacobi like) representation where the Hubble parameter $H$ is the function of a scalar field $ϕ$. Such approach admits calculation of the potential for given $H(ϕ)$ and consequently reconstruction of $f(R)$ gravity in parametric form. By this manner the Starobinsky potential and non-minimal Higgs potential (and consequently the corresponding $f(R)$ gravity) were reconstructed using constraints on model's parameters. Also comparison to observation (PLANCK 2018) data shows that both models give correct values for scalar spectral index and tensor-to-scalar ratio under wide range of exponential-power-law model's parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_16074 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints Fomin, I. V. Chervon, S. V. General Relativity and Quantum Cosmology We investigate an ability of the exponential power-law inflation to be phenomenologically correct model of the early universe. GR scalar cosmology equations we study in Ivanov-Salopek-Bond (or Hamilton-Jacobi like) representation where the Hubble parameter $H$ is the function of a scalar field $ϕ$. Such approach admits calculation of the potential for given $H(ϕ)$ and consequently reconstruction of $f(R)$ gravity in parametric form. By this manner the Starobinsky potential and non-minimal Higgs potential (and consequently the corresponding $f(R)$ gravity) were reconstructed using constraints on model's parameters. Also comparison to observation (PLANCK 2018) data shows that both models give correct values for scalar spectral index and tensor-to-scalar ratio under wide range of exponential-power-law model's parameters. |
| title | Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2006.16074 |