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On the hyperbolicity of the most general Horndeski theory
(American Physical SocietyPHYSICAL REVIEW D, 2017-12-27)
In this paper we study the hyperbolicity of the equations of motion for the
most general Horndeski theory of gravity in a generic "weak field" background.
We first show that a special case of this theory, namely
Einstein ...
On the local well-posedness of Lovelock and Horndeski theories
(American Physical SocietyPhysical Review D - Particles, Fields, Gravitation and Cosmologyhttp://dx.doi.org/10.1103/PhysRevD.96.044019, 2017-08-15)
We investigate local well-posedness of the initial value problem for Lovelock and Horndeski theories of gravity. A necessary condition for local well-posedness is strong hyperbolicity of the equations of motion. Even weak ...