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arXiv · 2112.05603

Well-posed formulation of Einstein-Maxwell effective field theory

Iain Davies·Harvey S. Reall
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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.

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Iain Davies, Harvey S. Reall. 2021-12-10. Well-posed formulation of Einstein-Maxwell effective field theory. https://doi.org/10.1103/physrevd.106.104019

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