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Well-posed formulation of Lovelock and Horndeski theories

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arxiv 2003.08398 v2 pith:WA6GDNPZ submitted 2020-03-18 gr-qc hep-th

Well-posed formulation of Lovelock and Horndeski theories

classification gr-qc hep-th
keywords theorieshorndeskiinitiallovelockproblemvaluewell-posedachieved
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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