TY  - JOUR
AU  - Capozziello, S.
AU  - Harko, T.
AU  - Lobo, F. S. N.
AU  - Olmo, G. J.
AU  - Vignolo, S.
PY  - 2014
DA  - 2014//
TI  - The Cauchy problem in hybrid metric-Palatini f(X)-gravity
T2  - Int. J. Geom. Methods Mod. Phys.
JO  - International Journal of Geometric Methods in Modern Physics
SP  - 1450042 - 12pp
VL  - 11
IS  - 5
PB  - World Scientific Publ Co Pte Ltd
KW  - Cauchy problem
KW  - modified gravity
KW  - hybrid metric-Palatini gravity
AB  - 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.
SN  - 0219-8878
UR  - http://arxiv.org/abs/1312.1320
UR  - https://doi.org/10.1142/S021988781450042X
DO  - 10.1142/S021988781450042X
LA  - English
N1  - WOS:000336527100003
ID  - Capozziello_etal2014
ER  -