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Well-posed formulation of scalar-tensor effective field theory

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arxiv 2003.04327 v2 pith:XQLPEW7G submitted 2020-03-09 gr-qc hep-th

Well-posed formulation of scalar-tensor effective field theory

classification gr-qc hep-th
keywords fieldeffectiveequationsformulationtheorywell-posedinitialvalue
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such theories it is necessary that the equations be written in a form that admits a well-posed initial value formulation. We study gravity coupled to a scalar field including the leading (4-derivative) effective field theory corrections. We introduce a new class of "modified harmonic" gauges and gauge-fixed equations of motion, such that, at weak coupling, the equations are strongly hyperbolic and therefore admit a well-posed initial value formulation.

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