Deformed Starobinsky model in gravity’s rainbow
Abstract In the context of gravity’s rainbow, we study the deformed Starobinsky model in which the deformations take the form $$f(R)\sim R^{2(1-\alpha )}$$ f(R)∼R2(1-α) , with R and $$\alpha $$ α being the Ricci scalar and a positive parameter, respectively. We show that the spectral index of curvat...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7031-x |
| _version_ | 1819236480804978688 |
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| author | Phongpichit Channuie |
| author_facet | Phongpichit Channuie |
| author_sort | Phongpichit Channuie |
| collection | DOAJ |
| description | Abstract In the context of gravity’s rainbow, we study the deformed Starobinsky model in which the deformations take the form $$f(R)\sim R^{2(1-\alpha )}$$ f(R)∼R2(1-α) , with R and $$\alpha $$ α being the Ricci scalar and a positive parameter, respectively. We show that the spectral index of curvature perturbation and the tensor-to-scalar ratio can be written in terms of $$N,\,\lambda $$ N,λ and $$\alpha $$ α , with N being the number of e-foldings, $$\lambda $$ λ a rainbow parameter. We compare the predictions of our models with Planck data. With the sizeable number of e-foldings and proper choices of parameters, we discover that the predictions of the model are in excellent agreement with the Planck analysis. Interestingly, we obtain the upper limit and the lower limit of a rainbow parameter $$\lambda $$ λ and a positive constant $$\alpha $$ α , respectively. |
| first_indexed | 2024-12-23T13:05:07Z |
| format | Article |
| id | doaj.art-a422268cd80e47349155ad27f070c414 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-23T13:05:07Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a422268cd80e47349155ad27f070c4142022-12-21T17:45:54ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-06-017961910.1140/epjc/s10052-019-7031-xDeformed Starobinsky model in gravity’s rainbowPhongpichit Channuie0College of Graduate Studies, Walailak UniversityAbstract In the context of gravity’s rainbow, we study the deformed Starobinsky model in which the deformations take the form $$f(R)\sim R^{2(1-\alpha )}$$ f(R)∼R2(1-α) , with R and $$\alpha $$ α being the Ricci scalar and a positive parameter, respectively. We show that the spectral index of curvature perturbation and the tensor-to-scalar ratio can be written in terms of $$N,\,\lambda $$ N,λ and $$\alpha $$ α , with N being the number of e-foldings, $$\lambda $$ λ a rainbow parameter. We compare the predictions of our models with Planck data. With the sizeable number of e-foldings and proper choices of parameters, we discover that the predictions of the model are in excellent agreement with the Planck analysis. Interestingly, we obtain the upper limit and the lower limit of a rainbow parameter $$\lambda $$ λ and a positive constant $$\alpha $$ α , respectively.http://link.springer.com/article/10.1140/epjc/s10052-019-7031-x |
| spellingShingle | Phongpichit Channuie Deformed Starobinsky model in gravity’s rainbow European Physical Journal C: Particles and Fields |
| title | Deformed Starobinsky model in gravity’s rainbow |
| title_full | Deformed Starobinsky model in gravity’s rainbow |
| title_fullStr | Deformed Starobinsky model in gravity’s rainbow |
| title_full_unstemmed | Deformed Starobinsky model in gravity’s rainbow |
| title_short | Deformed Starobinsky model in gravity’s rainbow |
| title_sort | deformed starobinsky model in gravity s rainbow |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7031-x |
| work_keys_str_mv | AT phongpichitchannuie deformedstarobinskymodelingravitysrainbow |