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Well-posed formulation of scalar-tensor effective field theory

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If you have a question about this talk, please contact Dejan Gajic.

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. In this talk, I will focus on gravity coupled to a scalar field including the leading (4-derivative) effective field theory corrections (this includes the so-called Einstein-dilaton-Gauss-Bonnet theory). I will explain how a new class of “modified harmonic” gauges and gauge-fixing procedures can be used to write the equations of motion of this theory in a form that, at weak coupling, admits a well-posed initial value problem. I will conclude by discussing possible applications to numerical relativity.

This talk is part of the DAMTP Friday GR Seminar series.

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