{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T13:06:18Z","timestamp":1754485578101},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Geom. Methods Mod. Phys."],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p> The well-formulation and the well-posedness of the Cauchy problem are discussed for hybrid metric-Palatini gravity, a recently proposed modified gravitational theory consisting of adding to the Einstein\u2013Hilbert Lagrangian an f(R)-term constructed \u00e0 la Palatini. The theory can be recast as a scalar-tensor one predicting the existence of a light long-range scalar field that evades the local Solar System tests and is able to modify galactic and cosmological dynamics, leading to the late-time cosmic acceleration. In this work, adopting generalized harmonic coordinates, we show that the initial value problem can always be well-formulated and, furthermore, can be well-posed depending on the adopted matter sources. <\/jats:p>","DOI":"10.1142\/s021988781450042x","type":"journal-article","created":{"date-parts":[[2014,2,7]],"date-time":"2014-02-07T12:52:59Z","timestamp":1391777579000},"page":"1450042","source":"Crossref","is-referenced-by-count":21,"title":["The Cauchy problem in hybrid metric-Palatini f(X)-gravity"],"prefix":"10.1142","volume":"11","author":[{"given":"Salvatore","family":"Capozziello","sequence":"first","affiliation":[{"name":"Dipartimento di Scienze Fisiche, Universit\u00e0 di Napoli \"Federico II\", Napoli, Italy"},{"name":"INFN Sez. di Napoli, Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia I-80126, Napoli, Italy"},{"name":"Gran Sasso Science Institute (INFN), Viale F. Crispi 7, I-67100, L'Aquila, Italy"}]},{"given":"Tiberiu","family":"Harko","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK"}]},{"given":"Francisco S. N.","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"}]},{"given":"Gonzalo J.","family":"Olmo","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica Te\u00f3rica and IFIC, Centro Mixto Universidad de Valencia \u2014 CSIC, Universidad de Valencia, Burjassot 46100, Valencia, Spain"}]},{"given":"Stefano","family":"Vignolo","sequence":"additional","affiliation":[{"name":"DIME Sez. Metodi e Modelli Matematici, Universit\u00e0 di Genova, Piazzale Kennedy, Pad. 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