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The Cauchy problem in hybrid metric-Palatini f(X)-gravity
https://doi.org/10.1142/S021988781450042XCited by:20 (Source: Crossref)
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 à 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.
AMSC: 04.50.Kd, 04.20.Ex, 04.20.Cv
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