Well-posed formulation of Einstein-Maxwell effective field theory
General Relativity and Quantum Cosmology
2022-11-23 v1
Abstract
We consider the well-posedness of the initial value problem for Einstein-Maxwell theory modified by higher derivative effective field theory corrections. Field redefinitions can be used to bring the leading parity-symmetric 4-derivative corrections to a form which gives second order equations of motion. We show that a recently introduced "modified harmonic" gauge condition can be used to obtain a formulation of these theories which admits a well-posed initial value problem when the higher derivative corrections to the equations of motion are small.
Cite
@article{arxiv.2112.05603,
title = {Well-posed formulation of Einstein-Maxwell effective field theory},
author = {Iain Davies and Harvey S. Reall},
journal= {arXiv preprint arXiv:2112.05603},
year = {2022}
}