2013/12/04 by Salvatore Capozziello, Salvatore Capozzıello, Tiberiu Harko +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cauchy distribution #Cauchy problem #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Gravitation #Initial value problem #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #astro-ph.CO #f(R) gravity #gr-qc #hep-th
paper · pdf · doi:10.1142/s021988781450042x
published as Int.J.Geom.Meth.Mod.Phys.11:1450042,2014 · 7 pages
arxiv created 2013/12/04 · openalex publication_date 2014/02/07 · arxiv updated 2014/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.