Well-posedness of minimal dRGT massive gravity
Abstract Ghost-free dRGT massive gravity is a subtle theory, even at the classical level. Its viability depends on Vainshtein screening, which is an intrinsically non-linear phenomenon, and thus understanding the full non-linear dynamics of the theory is crucial. The theory was not expected to have...
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2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)133 |
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| author | Jan Kożuszek Toby Wiseman |
| author_facet | Jan Kożuszek Toby Wiseman |
| author_sort | Jan Kożuszek |
| collection | DOAJ |
| description | Abstract Ghost-free dRGT massive gravity is a subtle theory, even at the classical level. Its viability depends on Vainshtein screening, which is an intrinsically non-linear phenomenon, and thus understanding the full non-linear dynamics of the theory is crucial. The theory was not expected to have a well-posed hyperbolic formulation as it is usually interpreted as a low energy EFT, and hence its short distance physics would be modified by higher derivative operators. Here we study a new dynamical formulation of the theory for the case of the minimal mass term. This firstly involves using a harmonic formulation of the theory, and then writing it as a first order system. We are able to cast it in a form that is strongly hyperbolic about the Minkowski background. We discuss strong hyperbolicity for backgrounds close to the Minkowski solution, conjecturing that Cauchy evolution remains well-posed. Interestingly, as part of the analysis, we find that the characteristics of the spin two graviton mode are simply governed by the inverse metric on a general background. |
| format | Article |
| id | doaj-art-52a7ea2689ee400c858036a4a8b10d05 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-52a7ea2689ee400c858036a4a8b10d052025-08-20T03:45:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025615110.1007/JHEP06(2025)133Well-posedness of minimal dRGT massive gravityJan Kożuszek0Toby Wiseman1Abdus Salam Centre for Theoretical Physics, Imperial College LondonAbdus Salam Centre for Theoretical Physics, Imperial College LondonAbstract Ghost-free dRGT massive gravity is a subtle theory, even at the classical level. Its viability depends on Vainshtein screening, which is an intrinsically non-linear phenomenon, and thus understanding the full non-linear dynamics of the theory is crucial. The theory was not expected to have a well-posed hyperbolic formulation as it is usually interpreted as a low energy EFT, and hence its short distance physics would be modified by higher derivative operators. Here we study a new dynamical formulation of the theory for the case of the minimal mass term. This firstly involves using a harmonic formulation of the theory, and then writing it as a first order system. We are able to cast it in a form that is strongly hyperbolic about the Minkowski background. We discuss strong hyperbolicity for backgrounds close to the Minkowski solution, conjecturing that Cauchy evolution remains well-posed. Interestingly, as part of the analysis, we find that the characteristics of the spin two graviton mode are simply governed by the inverse metric on a general background.https://doi.org/10.1007/JHEP06(2025)133Classical Theories of GravityCosmological modelsEffective Field Theories |
| spellingShingle | Jan Kożuszek Toby Wiseman Well-posedness of minimal dRGT massive gravity Journal of High Energy Physics Classical Theories of Gravity Cosmological models Effective Field Theories |
| title | Well-posedness of minimal dRGT massive gravity |
| title_full | Well-posedness of minimal dRGT massive gravity |
| title_fullStr | Well-posedness of minimal dRGT massive gravity |
| title_full_unstemmed | Well-posedness of minimal dRGT massive gravity |
| title_short | Well-posedness of minimal dRGT massive gravity |
| title_sort | well posedness of minimal drgt massive gravity |
| topic | Classical Theories of Gravity Cosmological models Effective Field Theories |
| url | https://doi.org/10.1007/JHEP06(2025)133 |
| work_keys_str_mv | AT jankozuszek wellposednessofminimaldrgtmassivegravity AT tobywiseman wellposednessofminimaldrgtmassivegravity |