Early and late universe holographic cosmology from a new generalized entropy
We propose a new four-parameter entropy function that generalizes the Tsallis, Rényi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. Consequently, we address the early and late universe cosmology corresponding to the proposed four-paramete...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322003239 |
| _version_ | 1818205607896809472 |
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| author | Shin'ichi Nojiri Sergei D. Odintsov Tanmoy Paul |
| author_facet | Shin'ichi Nojiri Sergei D. Odintsov Tanmoy Paul |
| author_sort | Shin'ichi Nojiri |
| collection | DOAJ |
| description | We propose a new four-parameter entropy function that generalizes the Tsallis, Rényi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. Consequently, we address the early and late universe cosmology corresponding to the proposed four-parameter entropy function. As a result, it turns out that the entropic cosmology from the generalized entropy function can unify the early inflation to the late dark energy era of the universe. In such a unified scenario, we find that – (1) the inflation era is described by a quasi de-Sitter evolution of the Hubble parameter, which has an exit at around 58 e-folding number, (2) the inflationary observable quantities like the spectral index for primordial scalar perturbation and the tensor-to-scalar ratio are simultaneously compatible with the recent Planck data, and (3) regarding the late time cosmology, the dark energy EoS parameter is found to be consistent with the Planck result for the same values of the entropy parameters that lead to the viable inflation during the early universe. Furthermore, we show that the entropic cosmology from the proposed entropy function is equivalent to holographic cosmology, where the respective holographic cut-offs are determined in terms of either particle horizon and its derivative or future horizon and its derivative. |
| first_indexed | 2024-12-12T03:59:50Z |
| format | Article |
| id | doaj.art-e4d5342eb3f14a5093f45e9bfb2e2803 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-12T03:59:50Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e4d5342eb3f14a5093f45e9bfb2e28032022-12-22T00:39:06ZengElsevierPhysics Letters B0370-26932022-08-01831137189Early and late universe holographic cosmology from a new generalized entropyShin'ichi Nojiri0Sergei D. Odintsov1Tanmoy Paul2Department of Physics, Nagoya University, Nagoya 464-8602, Japan; Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, JapanICREA, Passeig Luis Companys, 23, 08010 Barcelona, Spain; Institute of Space Sciences (ICE, CSIC) C. Can Magrans s/n, 08193 Barcelona, SpainDepartment of Physics, Chandernagore College, Hooghly - 712 136, India; Corresponding author.We propose a new four-parameter entropy function that generalizes the Tsallis, Rényi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. Consequently, we address the early and late universe cosmology corresponding to the proposed four-parameter entropy function. As a result, it turns out that the entropic cosmology from the generalized entropy function can unify the early inflation to the late dark energy era of the universe. In such a unified scenario, we find that – (1) the inflation era is described by a quasi de-Sitter evolution of the Hubble parameter, which has an exit at around 58 e-folding number, (2) the inflationary observable quantities like the spectral index for primordial scalar perturbation and the tensor-to-scalar ratio are simultaneously compatible with the recent Planck data, and (3) regarding the late time cosmology, the dark energy EoS parameter is found to be consistent with the Planck result for the same values of the entropy parameters that lead to the viable inflation during the early universe. Furthermore, we show that the entropic cosmology from the proposed entropy function is equivalent to holographic cosmology, where the respective holographic cut-offs are determined in terms of either particle horizon and its derivative or future horizon and its derivative.http://www.sciencedirect.com/science/article/pii/S0370269322003239 |
| spellingShingle | Shin'ichi Nojiri Sergei D. Odintsov Tanmoy Paul Early and late universe holographic cosmology from a new generalized entropy Physics Letters B |
| title | Early and late universe holographic cosmology from a new generalized entropy |
| title_full | Early and late universe holographic cosmology from a new generalized entropy |
| title_fullStr | Early and late universe holographic cosmology from a new generalized entropy |
| title_full_unstemmed | Early and late universe holographic cosmology from a new generalized entropy |
| title_short | Early and late universe holographic cosmology from a new generalized entropy |
| title_sort | early and late universe holographic cosmology from a new generalized entropy |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322003239 |
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