Well-posed formulation of scalar-tensor effective field theory
General Relativity and Quantum Cosmology
2020-07-01 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.2003.04327,
title = {Well-posed formulation of scalar-tensor effective field theory},
author = {Aron D. Kovacs and Harvey S. Reall},
journal= {arXiv preprint arXiv:2003.04327},
year = {2020}
}
Comments
minor changes