English

Well-posed formulation of Lovelock and Horndeski theories

General Relativity and Quantum Cosmology 2020-07-01 v2 High Energy Physics - Theory

Abstract

We study the initial value problem for Lovelock and Horndeski theories of gravity. We show that the equations of motion of these theories can be written in a form that, at weak coupling, is strongly hyperbolic and therefore admits a well-posed initial value problem. This is achieved by introducing a new class of "modified harmonic" gauges for general relativity.

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Cite

@article{arxiv.2003.08398,
  title  = {Well-posed formulation of Lovelock and Horndeski theories},
  author = {Aron D. Kovacs and Harvey S. Reall},
  journal= {arXiv preprint arXiv:2003.08398},
  year   = {2020}
}

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