{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T14:16:19Z","timestamp":1774275379708,"version":"3.50.1"},"reference-count":81,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2020,11,26]],"date-time":"2020-11-26T00:00:00Z","timestamp":1606348800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004561","name":"Ministry of Education and Science of the Republic of Kazakhstan","doi-asserted-by":"publisher","award":["AP08052034"],"award-info":[{"award-number":["AP08052034"]}],"id":[{"id":"10.13039\/501100004561","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter; otherwise, it does not occur just as a consequence of the nonlinear gravitational terms of the action. Nevertheless, by including a single scalar field that plays the role of the inflaton, slow-roll inflation can be performed in these theories, where the equations lead to an effective potential that modifies the dynamics. We obtain the general slow-roll parameters and analyze a simple model to illustrate the differences introduced by the gravitational terms under the Palatini approach, and the modifications on the spectral index and the tensor to scalar ratio predicted by the model.<\/jats:p>","DOI":"10.3390\/sym12121958","type":"journal-article","created":{"date-parts":[[2020,11,26]],"date-time":"2020-11-26T22:00:33Z","timestamp":1606428033000},"page":"1958","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["General Slow-Roll Inflation in f(R) Gravity under the Palatini Approach"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8846-0604","authenticated-orcid":false,"given":"Sabit","family":"Bekov","sequence":"first","affiliation":[{"name":"Eurasian International Center for Theoretical Physics, Nur-Sultan 010009, Kazakhstan"},{"name":"Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan 010008, Kazakhstan"}]},{"given":"Kairat","family":"Myrzakulov","sequence":"additional","affiliation":[{"name":"Eurasian International Center for Theoretical Physics, Nur-Sultan 010009, Kazakhstan"},{"name":"Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan 010008, Kazakhstan"}]},{"given":"Ratbay","family":"Myrzakulov","sequence":"additional","affiliation":[{"name":"Eurasian International Center for Theoretical Physics, Nur-Sultan 010009, Kazakhstan"},{"name":"Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan 010008, Kazakhstan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0714-2680","authenticated-orcid":false,"given":"Diego","family":"S\u00e1ez-Chill\u00f3n G\u00f3mez","sequence":"additional","affiliation":[{"name":"Eurasian International Center for Theoretical Physics, Nur-Sultan 010009, Kazakhstan"},{"name":"Department of Theoretical Physics, Atomic and Optics, Campus Miguel Delibes, University of Valladolid UVA, Paseo Bel\u00e9n, 7, 47011 Valladolid, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2012.01.001","article-title":"Modified Gravity and Cosmology","volume":"513","author":"Clifton","year":"2012","journal-title":"Phys. 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