Well-Posed Formulation of Scalar-Tensor Effective Field Theory.
Kovács, Áron D
Physical review letters
American Physical Society
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Kovács, Á. D., & Reall, H. (2020). Well-Posed Formulation of Scalar-Tensor Effective Field Theory.. Physical review letters, 124 (22), 221101. https://doi.org/10.1103/physrevlett.124.221101
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.
STFC Grants PHY-1504541 and ST/P000681/1
External DOI: https://doi.org/10.1103/physrevlett.124.221101
This record's URL: https://www.repository.cam.ac.uk/handle/1810/305381
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