Inflation based on the Tsallis entropy
Abstract We study the inflationary scenario in the Tsallis entropy-based cosmology. The Friedmann equations in this setup can be derived by using the first law of thermodynamics. To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an f(R)...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12435-z |
| _version_ | 1797233322769776640 |
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| author | Zeinab Teimoori Kazem Rezazadeh Abasat Rostami |
| author_facet | Zeinab Teimoori Kazem Rezazadeh Abasat Rostami |
| author_sort | Zeinab Teimoori |
| collection | DOAJ |
| description | Abstract We study the inflationary scenario in the Tsallis entropy-based cosmology. The Friedmann equations in this setup can be derived by using the first law of thermodynamics. To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an f(R) gravity model which is thermodynamically equivalent to our model in the slow-roll approximation. In this way, we find the inflationary observables, including the scalar spectral index and the tensor-to-scalar ratio in our scenario. Then, we investigate two different potentials in our scenario, including the quadratic potential and the potential associated with the natural inflation in which the inflaton is an axion or a pseudo-Nambu–Goldstone boson. We examine their observational viability in light of the Planck 2018 CMB data. We show that although the results of these potentials are in tension with the observations in the standard inflationary setting, their consistency with the observations can be significantly improved within the setup of the Tsallis entropy-based inflation. Moreover, we place constraints on the parameters of the considered inflationary models by using the current observational data. |
| first_indexed | 2024-03-07T15:26:41Z |
| format | Article |
| id | doaj.art-5bd11d2461a941a993998ae1c514eabb |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:20Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-5bd11d2461a941a993998ae1c514eabb2024-03-31T11:32:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-01-0184111810.1140/epjc/s10052-024-12435-zInflation based on the Tsallis entropyZeinab Teimoori0Kazem Rezazadeh1Abasat Rostami2Department of Physics, University of KurdistanSchool of Physics, Institute for Research in Fundamental Sciences (IPM)Physics and Energy Engineering Department, Amirkabir University of TechnologyAbstract We study the inflationary scenario in the Tsallis entropy-based cosmology. The Friedmann equations in this setup can be derived by using the first law of thermodynamics. To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an f(R) gravity model which is thermodynamically equivalent to our model in the slow-roll approximation. In this way, we find the inflationary observables, including the scalar spectral index and the tensor-to-scalar ratio in our scenario. Then, we investigate two different potentials in our scenario, including the quadratic potential and the potential associated with the natural inflation in which the inflaton is an axion or a pseudo-Nambu–Goldstone boson. We examine their observational viability in light of the Planck 2018 CMB data. We show that although the results of these potentials are in tension with the observations in the standard inflationary setting, their consistency with the observations can be significantly improved within the setup of the Tsallis entropy-based inflation. Moreover, we place constraints on the parameters of the considered inflationary models by using the current observational data.https://doi.org/10.1140/epjc/s10052-024-12435-z |
| spellingShingle | Zeinab Teimoori Kazem Rezazadeh Abasat Rostami Inflation based on the Tsallis entropy European Physical Journal C: Particles and Fields |
| title | Inflation based on the Tsallis entropy |
| title_full | Inflation based on the Tsallis entropy |
| title_fullStr | Inflation based on the Tsallis entropy |
| title_full_unstemmed | Inflation based on the Tsallis entropy |
| title_short | Inflation based on the Tsallis entropy |
| title_sort | inflation based on the tsallis entropy |
| url | https://doi.org/10.1140/epjc/s10052-024-12435-z |
| work_keys_str_mv | AT zeinabteimoori inflationbasedonthetsallisentropy AT kazemrezazadeh inflationbasedonthetsallisentropy AT abasatrostami inflationbasedonthetsallisentropy |