Logamediate inflation on the Swiss-cheese brane with varying cosmological constant
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| Format: | Preprint |
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2023
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| _version_ | 1866916360070627328 |
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| author | Ahmed, Nasr Pradhan, Anirudh |
| author_facet | Ahmed, Nasr Pradhan, Anirudh |
| contents | The existence of Schwarzchild black holes in the structure of Swiss-cheese brane-world led to the conclusion that this specific brane-world scenario is more realistic than the FLRW branes. In this paper, we show that a Logamediate inflation on the Swiss-cheese brane with time-dependent cosmological constant $Λ(H)$ leads to a positive kinetic term and a negative potential with AdS minimum. The cosmic pressure $p$ is always positive but the energy density $ρ$ starts to get negative after a finite time. However, there is a time interval where they both are positive. Although this behavior of $ρ$ can be considered as a drawback of Swiss-cheese brane where positive energy dominates the present universe, it has been suggested that the presence of some source of negative energy could have played a significant role in early cosmic expansion. The model suffers from the eternal inflation problem which appears from the evolution of the first slow-roll parameter $ε$. Due to the existence of $ρ^2$ term, we have tested the new nonlinear energy conditions. The slow-roll parameters have been investigated and compared to Planck 15 results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_15186 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Logamediate inflation on the Swiss-cheese brane with varying cosmological constant Ahmed, Nasr Pradhan, Anirudh General Relativity and Quantum Cosmology The existence of Schwarzchild black holes in the structure of Swiss-cheese brane-world led to the conclusion that this specific brane-world scenario is more realistic than the FLRW branes. In this paper, we show that a Logamediate inflation on the Swiss-cheese brane with time-dependent cosmological constant $Λ(H)$ leads to a positive kinetic term and a negative potential with AdS minimum. The cosmic pressure $p$ is always positive but the energy density $ρ$ starts to get negative after a finite time. However, there is a time interval where they both are positive. Although this behavior of $ρ$ can be considered as a drawback of Swiss-cheese brane where positive energy dominates the present universe, it has been suggested that the presence of some source of negative energy could have played a significant role in early cosmic expansion. The model suffers from the eternal inflation problem which appears from the evolution of the first slow-roll parameter $ε$. Due to the existence of $ρ^2$ term, we have tested the new nonlinear energy conditions. The slow-roll parameters have been investigated and compared to Planck 15 results. |
| title | Logamediate inflation on the Swiss-cheese brane with varying cosmological constant |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.15186 |