%0 Journal Article
%T The Cauchy problem in hybrid metric-Palatini f(X)-gravity
%A Capozziello, S.
%A Harko, T.
%A Lobo, F. S. N.
%A Olmo, G. J.
%A Vignolo, S.
%J International Journal of Geometric Methods in Modern Physics
%D 2014
%V 11
%N 5
%I World Scientific Publ Co Pte Ltd
%@ 0219-8878
%G English
%F Capozziello_etal2014
%O WOS:000336527100003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1813), last updated on Thu, 26 Jun 2014 11:26:36 +0000
%X 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.
%K Cauchy problem
%K modified gravity
%K hybrid metric-Palatini gravity
%R 10.1142/S021988781450042X
%U http://arxiv.org/abs/1312.1320
%U https://doi.org/10.1142/S021988781450042X
%P 1450042 - 12pp