Well-posed formulation of Lovelock and Horndeski theories
Kovacs, Aron D
Physical Review D: Particles, Fields, Gravitation and Cosmology
American Physical Society
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Kovacs, A. D., & Reall, H. Well-posed formulation of Lovelock and Horndeski theories. Physical Review D: Particles, Fields, Gravitation and Cosmology https://doi.org/10.17863/CAM.52506
We study the initial value problem for Lovelock and Horndeski theories of gravity. We show that the equations of motion of these theories can be written in a form that, at weak coupling, is strongly hyperbolic and therefore admits a well-posed initial value problem. This is achieved by introducing a new class of "modified harmonic" gauges for general relativity.
HSR is supported by STFC Grants PHY-1504541 and ST/P000681/1.
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This record's DOI: https://doi.org/10.17863/CAM.52506
This record's URL: https://www.repository.cam.ac.uk/handle/1810/305426
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