6533b82efe1ef96bd1293c54
RESEARCH PRODUCT
The Cauchy problem in hybrid metric-Palatini f(X)-gravity
Francisco S. N. LoboStefano VignoloSalvatore CapozzielloGonzalo J. OlmoTiberiu Harkosubject
Cauchy problemHarmonic coordinatesPhysicsHigh Energy Physics - TheoryCosmology and Nongalactic Astrophysics (astro-ph.CO)Physics and Astronomy (miscellaneous)010308 nuclear & particles physicsFOS: Physical sciencesAcceleration (differential geometry)General Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyGravitationGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)0103 physical sciencesMetric (mathematics)Initial value problemBoundary value problem010303 astronomy & astrophysicsScalar fieldMathematical physicsAstrophysics - Cosmology and Nongalactic Astrophysicsdescription
The well-formulation and the well-posedness of the Cauchy problem is discussed for {\it hybrid metric-Palatini gravity}, a recently proposed modified gravitational theory consisting of adding to the Einstein-Hilbert Lagrangian an $f(R)$ term constructed {\it \`{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 {\it well-formulated} and, furthermore, can be {\it well-posed} depending on the adopted matter sources.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-12-04 |