{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T00:58:53Z","timestamp":1771030733713,"version":"3.50.1"},"reference-count":42,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"undefined  &lt;span style=&quot;color:gray;font-size:10px;&quot;&gt;undefined&lt;\/span&gt;","award":["MOBJD423"],"award-info":[{"award-number":["MOBJD423"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>It is broadly known that Lie point symmetries and their subcase, Noether symmetries, can be used as a geometric criterion to select alternative theories of gravity. Here, we use Noether symmetries as a selection criterion to distinguish those models of     f ( R , G )     theory, with R and G being the Ricci and the Gauss\u2013Bonnet scalars respectively, that are invariant under point transformations in a spherically symmetric background. In total, we find ten different forms of f that present symmetries and calculate their invariant quantities, i.e., Noether vector fields. Furthermore, we use these Noether symmetries to find exact spherically symmetric solutions in some of the models of     f ( R , G )     theory.<\/jats:p>","DOI":"10.3390\/sym12010068","type":"journal-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T11:55:07Z","timestamp":1578052507000},"page":"68","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Exact Spherically Symmetric Solutions in Modified Gauss\u2013Bonnet Gravity from Noether Symmetry Approach"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6235-120X","authenticated-orcid":false,"given":"Sebastian","family":"Bahamonde","sequence":"first","affiliation":[{"name":"Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia"},{"name":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK"}]},{"given":"Konstantinos","family":"Dialektopoulos","sequence":"additional","affiliation":[{"name":"Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3431-2574","authenticated-orcid":false,"given":"Ugur","family":"Camci","sequence":"additional","affiliation":[{"name":"Siteler Mahallesi, 1307 Sokak, Ahmet Kartal Konutlari, A-1 Blok, No:7\/2, Konyaalti, 07070 Antalya, Turkey"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.nuclphysb.2007.04.037","article-title":"Interacting dark energy and dark matter: Observational constraints from cosmological parameters","volume":"778","author":"Wang","year":"2007","journal-title":"Nucl. 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