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2020

Well-posed formulation of scalar-tensor effective field theory

Kovacs, Aron D., Reall, Harvey S.

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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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