PT Journal
AU Capozziello, S
Harko, T
Lobo, FSN
Olmo, GJ
Vignolo, S
TI The Cauchy problem in hybrid metric-Palatini f(X)-gravity
SO International Journal of Geometric Methods in Modern Physics
JI Int. J. Geom. Methods Mod. Phys.
PY 2014
BP 1450042 - 12pp
VL 11
IS 5
DI 10.1142/S021988781450042X
LA English
DE Cauchy problem; modified gravity; 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.
ER