@Article{Capozziello_etal2014, author="Capozziello, S. and Harko, T. and Lobo, F. S. N. and Olmo, G. J. and Vignolo, S.", title="The Cauchy problem in hybrid metric-Palatini f(X)-gravity", journal="International Journal of Geometric Methods in Modern Physics", year="2014", publisher="World Scientific Publ Co Pte Ltd", volume="11", number="5", pages="1450042 - 12pp", optkeywords="Cauchy problem; modified gravity; hybrid metric-Palatini gravity", abstract="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-Hilbert Lagrangian an f(R)-term constructed a 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.", optnote="WOS:000336527100003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1813), last updated on Thu, 26 Jun 2014 11:26:36 +0000", issn="0219-8878", doi="10.1142/S021988781450042X", opturl="http://arxiv.org/abs/1312.1320", opturl="https://doi.org/10.1142/S021988781450042X", archivePrefix="arXiv", eprint="1312.1320", language="English" }