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Phys."],"published-print":{"date-parts":[[2022,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function <jats:italic>G<\/jats:italic>\n                  <jats:sub>3<\/jats:sub>(<jats:italic>\u03d5<\/jats:italic>,<jats:italic>X<\/jats:italic>) in the Lagrangian is constrained to be a function solely of the scalar field, <jats:italic>G<\/jats:italic>\n                  <jats:sub>3<\/jats:sub>(<jats:italic>\u03d5<\/jats:italic>), and relations among the free functions are found. Other criterion for stability are also analysed, such as the attractiveness of gravity, and the Dolgov-Kawasacki instability. Some applications for cosmology are discussed.<\/jats:p>","DOI":"10.1088\/1475-7516\/2022\/04\/008","type":"journal-article","created":{"date-parts":[[2022,4,6]],"date-time":"2022-04-06T15:15:01Z","timestamp":1649258101000},"page":"008","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Stability conditions for the Horndeski scalar field gravity model"],"prefix":"10.1088","volume":"2022","author":[{"given":"C.","family":"Gomes","sequence":"first","affiliation":[]},{"given":"O.","family":"Bertolami","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2022,4,6]]},"reference":[{"key":"ba6f96b0219b3180d9f01c5460db6828f","doi-asserted-by":"publisher","first-page":"4","DOI":"10.12942\/lrr-2014-4","article-title":"The Confrontation between General Relativity and Experiment","volume":"17","author":"Will","year":"2014","journal-title":"Living Rev. 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