The Cauchy problem in hybrid metric-Palatini f(X)-gravity
2014 ◽
Vol 11
(05)
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pp. 1450042
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Keyword(s):
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.
2011 ◽
Vol 08
(01)
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pp. 167-176
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1990 ◽
Vol 427
(1872)
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pp. 221-239
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2013 ◽
Vol 10
(04)
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pp. 735-771
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2000 ◽
Vol 02
(02)
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pp. 243-254
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Keyword(s):
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1997 ◽
Vol 127
(2)
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pp. 369-384
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