Dynamics of dRGT ghost-free massive gravity in spherical symmetry
Abstract We focus on dRGT massive gravity in spherical symmetry in the limit of small graviton mass. Firstly we examine the minimal model. This does not exhibit a Vainshtein mechanism in spherical symmetry, but one may still ask what happens for spherical dynamics. We show that there are no regular...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)204 |
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| author | Emma Albertini Jan Kożuszek Toby Wiseman |
| author_facet | Emma Albertini Jan Kożuszek Toby Wiseman |
| author_sort | Emma Albertini |
| collection | DOAJ |
| description | Abstract We focus on dRGT massive gravity in spherical symmetry in the limit of small graviton mass. Firstly we examine the minimal model. This does not exhibit a Vainshtein mechanism in spherical symmetry, but one may still ask what happens for spherical dynamics. We show that there are no regular time-dependent spherically symmetric solutions unless the matter has sufficiently large pressure. For matter that does not satisfy this, such as non-relativistic matter, any Cauchy slice of such a solution must necessarily have a point where the metric becomes singular. Only a weak assumption on the asymptotics is made. We then consider the next-to-minimal model. This has been argued to have a good Vainshtein mechanism in spherical symmetry, and hence be phenomenologically viable, provided the relative sign of the minimal and next-to-minimal mass terms is the same, and we restrict attention to this case. We find that regular behaviour requires the matter at the origin of symmetry to have positive pressure — in particular a massive scalar field fails to satisfy this condition. Furthermore it restricts non-relativistic matter so that the pressure is bounded from below in terms of the density and graviton mass in a manner that is at odds with a reasonable phenomenology. This suggests that realistic phenomenology will either require a resolution of singularities, or will require dynamics beyond the non-generic setting of spherical symmetry. |
| format | Article |
| id | doaj-art-b7134755ec0746a7864de8f4130b80f4 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b7134755ec0746a7864de8f4130b80f42025-01-12T12:05:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212610.1007/JHEP12(2024)204Dynamics of dRGT ghost-free massive gravity in spherical symmetryEmma Albertini0Jan Kożuszek1Toby Wiseman2Theoretical Physics Group, Blackett Laboratory, Imperial CollegeTheoretical Physics Group, Blackett Laboratory, Imperial CollegeTheoretical Physics Group, Blackett Laboratory, Imperial CollegeAbstract We focus on dRGT massive gravity in spherical symmetry in the limit of small graviton mass. Firstly we examine the minimal model. This does not exhibit a Vainshtein mechanism in spherical symmetry, but one may still ask what happens for spherical dynamics. We show that there are no regular time-dependent spherically symmetric solutions unless the matter has sufficiently large pressure. For matter that does not satisfy this, such as non-relativistic matter, any Cauchy slice of such a solution must necessarily have a point where the metric becomes singular. Only a weak assumption on the asymptotics is made. We then consider the next-to-minimal model. This has been argued to have a good Vainshtein mechanism in spherical symmetry, and hence be phenomenologically viable, provided the relative sign of the minimal and next-to-minimal mass terms is the same, and we restrict attention to this case. We find that regular behaviour requires the matter at the origin of symmetry to have positive pressure — in particular a massive scalar field fails to satisfy this condition. Furthermore it restricts non-relativistic matter so that the pressure is bounded from below in terms of the density and graviton mass in a manner that is at odds with a reasonable phenomenology. This suggests that realistic phenomenology will either require a resolution of singularities, or will require dynamics beyond the non-generic setting of spherical symmetry.https://doi.org/10.1007/JHEP12(2024)204Classical Theories of GravityCosmological models |
| spellingShingle | Emma Albertini Jan Kożuszek Toby Wiseman Dynamics of dRGT ghost-free massive gravity in spherical symmetry Journal of High Energy Physics Classical Theories of Gravity Cosmological models |
| title | Dynamics of dRGT ghost-free massive gravity in spherical symmetry |
| title_full | Dynamics of dRGT ghost-free massive gravity in spherical symmetry |
| title_fullStr | Dynamics of dRGT ghost-free massive gravity in spherical symmetry |
| title_full_unstemmed | Dynamics of dRGT ghost-free massive gravity in spherical symmetry |
| title_short | Dynamics of dRGT ghost-free massive gravity in spherical symmetry |
| title_sort | dynamics of drgt ghost free massive gravity in spherical symmetry |
| topic | Classical Theories of Gravity Cosmological models |
| url | https://doi.org/10.1007/JHEP12(2024)204 |
| work_keys_str_mv | AT emmaalbertini dynamicsofdrgtghostfreemassivegravityinsphericalsymmetry AT jankozuszek dynamicsofdrgtghostfreemassivegravityinsphericalsymmetry AT tobywiseman dynamicsofdrgtghostfreemassivegravityinsphericalsymmetry |