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arXiv · 2003.04327

Well-posed formulation of scalar-tensor effective field theory

Aron D. Kovacs·Harvey S. Reall
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Abstract

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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Aron D. Kovacs, Harvey S. Reall. 2020-03-09. Well-posed formulation of scalar-tensor effective field theory. https://doi.org/10.1103/physrevlett.124.221101

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