{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T14:25:58Z","timestamp":1778768758807,"version":"3.51.4"},"reference-count":163,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2014,7,28]],"date-time":"2014-07-28T00:00:00Z","timestamp":1406505600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Galaxies"],"abstract":"<jats:p>In this work, we review a plethora of modified theories of gravity with generalized curvature-matter couplings. The explicit nonminimal couplings, for instance, between an arbitrary function of the scalar curvature R and the Lagrangian density of matter, induces a non-vanishing covariant derivative of the energy-momentum tensor, implying non-geodesic motion and, consequently, leads to the appearance of an extra force. Applied to the cosmological context, these curvature-matter couplings lead to interesting phenomenology, where one can obtain a unified description of the cosmological epochs. We also consider the possibility that the behavior of the galactic flat rotation curves can be explained in the framework of the curvature-matter coupling models, where the extra terms in the gravitational field equations modify the equations of motion of test particles and induce a supplementary gravitational interaction. In addition to this, these models are extremely useful for describing dark energy-dark matter interactions and for explaining the late-time cosmic acceleration.<\/jats:p>","DOI":"10.3390\/galaxies2030410","type":"journal-article","created":{"date-parts":[[2014,7,28]],"date-time":"2014-07-28T11:03:00Z","timestamp":1406545380000},"page":"410-465","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":248,"title":["Generalized Curvature-Matter Couplings in Modified Gravity"],"prefix":"10.3390","volume":"2","author":[{"given":"Tiberiu","family":"Harko","sequence":"first","affiliation":[{"name":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK"}]},{"given":"Francisco","family":"Lobo","sequence":"additional","affiliation":[{"name":"Centro de Astronomia e Astrof\u00edsica da Universidade de Lisboa, Campo Grande, Edif\u00edcio C8 1749-016 Lisboa, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2014,7,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1086\/307221","article-title":"Measurements of \u03a9 and \u039b from 42 High-Redshift Supernovae","volume":"517","author":"Perlmutter","year":"1999","journal-title":"Astrophys. 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