Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini
Abstract The Hamilton–Jacobi approach offers a natural framework for analyzing inflationary dynamics, relying on the specified Hubble parameter rather than the potential, particularly in extended gravity theories. In this study, we apply this method to investigate inflation with non-minimal coupling...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13787-w |
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| author | Feng-Yi Zhang Wenbin Lin |
| author_facet | Feng-Yi Zhang Wenbin Lin |
| author_sort | Feng-Yi Zhang |
| collection | DOAJ |
| description | Abstract The Hamilton–Jacobi approach offers a natural framework for analyzing inflationary dynamics, relying on the specified Hubble parameter rather than the potential, particularly in extended gravity theories. In this study, we apply this method to investigate inflation with non-minimal coupling, comparing the metric and Palatini formulations. Using a power-law Hubble parameter in the Jordan frame, we find that both formalisms satisfy the attractor condition, with a slight suppression in the Palatini case. Our results align closely with the latest observational data, demonstrating the Palatini formalism’s heightened sensitivity to coupling constants and model parameters. Furthermore, we show that within the model’s viable parameter space, the reheating process can achieve sufficiently high temperatures to support successful leptogenesis. |
| format | Article |
| id | doaj-art-7d1518be5fa1440c9f6ff274dc6c1111 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-7d1518be5fa1440c9f6ff274dc6c11112025-01-26T12:49:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511910.1140/epjc/s10052-025-13787-wHamilton–Jacobi method in non-minimal coupling inflation: metric vs. PalatiniFeng-Yi Zhang0Wenbin Lin1School of Nuclear Science and Technology, University of South ChinaSchool of Mathematics and Physics, University of South ChinaAbstract The Hamilton–Jacobi approach offers a natural framework for analyzing inflationary dynamics, relying on the specified Hubble parameter rather than the potential, particularly in extended gravity theories. In this study, we apply this method to investigate inflation with non-minimal coupling, comparing the metric and Palatini formulations. Using a power-law Hubble parameter in the Jordan frame, we find that both formalisms satisfy the attractor condition, with a slight suppression in the Palatini case. Our results align closely with the latest observational data, demonstrating the Palatini formalism’s heightened sensitivity to coupling constants and model parameters. Furthermore, we show that within the model’s viable parameter space, the reheating process can achieve sufficiently high temperatures to support successful leptogenesis.https://doi.org/10.1140/epjc/s10052-025-13787-w |
| spellingShingle | Feng-Yi Zhang Wenbin Lin Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini European Physical Journal C: Particles and Fields |
| title | Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini |
| title_full | Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini |
| title_fullStr | Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini |
| title_full_unstemmed | Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini |
| title_short | Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini |
| title_sort | hamilton jacobi method in non minimal coupling inflation metric vs palatini |
| url | https://doi.org/10.1140/epjc/s10052-025-13787-w |
| work_keys_str_mv | AT fengyizhang hamiltonjacobimethodinnonminimalcouplinginflationmetricvspalatini AT wenbinlin hamiltonjacobimethodinnonminimalcouplinginflationmetricvspalatini |