The Parametrized Post-Newtonian-Vainshteinian formalism
Light degrees of freedom that modify gravity on cosmological scales must be "screened" on solar system scales in order to be compatible with data. The Vainshtein mechanism achieves this through a breakdown of classical perturbation theory, as large interactions involving new degrees of fre...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
IOPScience
2015
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/42156/ |
| _version_ | 1848796434020696064 |
|---|---|
| author | Avilez-Lopez, A. Padilla, A. Saffin, Paul M. Skordis, C. |
| author_facet | Avilez-Lopez, A. Padilla, A. Saffin, Paul M. Skordis, C. |
| author_sort | Avilez-Lopez, A. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Light degrees of freedom that modify gravity on cosmological scales must be "screened" on solar system scales in order to be compatible with data. The Vainshtein mechanism achieves this through a breakdown of classical perturbation theory, as large interactions involving new degrees of freedom become important below the so-called Vainshtein radius. We begin to develop an extension of the Parameterized Post-Newtonian (PPN) formalism that is able to handle Vainshteinian corrections. We argue that theories with a unique Vainshtein scale must be expanded using two small parameters. In this Parameterized Post-Newtonian-Vainshteinian (PPNV) expansion, the primary expansion parameter that controls the PPN order is, as usual, the velocity v. The secondary expansion parameter, α, controls the strength of the Vainshteinian correction and is a theory-specific combination of the Schwarzschild radius and the Vainshtein radius of the source that is independent of its mass. We present the general framework and apply it to Cubic Galileon theory both inside and outside the Vainshtein radius. The PPNV framework can be used to determine the compatibility of such theories with solar system and other strong-field data. |
| first_indexed | 2025-11-14T19:47:55Z |
| format | Article |
| id | nottingham-42156 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:55Z |
| publishDate | 2015 |
| publisher | IOPScience |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421562020-05-04T17:10:00Z https://eprints.nottingham.ac.uk/42156/ The Parametrized Post-Newtonian-Vainshteinian formalism Avilez-Lopez, A. Padilla, A. Saffin, Paul M. Skordis, C. Light degrees of freedom that modify gravity on cosmological scales must be "screened" on solar system scales in order to be compatible with data. The Vainshtein mechanism achieves this through a breakdown of classical perturbation theory, as large interactions involving new degrees of freedom become important below the so-called Vainshtein radius. We begin to develop an extension of the Parameterized Post-Newtonian (PPN) formalism that is able to handle Vainshteinian corrections. We argue that theories with a unique Vainshtein scale must be expanded using two small parameters. In this Parameterized Post-Newtonian-Vainshteinian (PPNV) expansion, the primary expansion parameter that controls the PPN order is, as usual, the velocity v. The secondary expansion parameter, α, controls the strength of the Vainshteinian correction and is a theory-specific combination of the Schwarzschild radius and the Vainshtein radius of the source that is independent of its mass. We present the general framework and apply it to Cubic Galileon theory both inside and outside the Vainshtein radius. The PPNV framework can be used to determine the compatibility of such theories with solar system and other strong-field data. IOPScience 2015-06-25 Article PeerReviewed Avilez-Lopez, A., Padilla, A., Saffin, Paul M. and Skordis, C. (2015) The Parametrized Post-Newtonian-Vainshteinian formalism. Journal of Cosmology and Astroparticle Physics, 2015 (06). 044//1-044/26. ISSN 1475-7516 modified gravity gravity http://iopscience.iop.org/article/10.1088/1475-7516/2015/06/044/meta doi:10.1088/1475-7516/2015/06/044 doi:10.1088/1475-7516/2015/06/044 |
| spellingShingle | modified gravity gravity Avilez-Lopez, A. Padilla, A. Saffin, Paul M. Skordis, C. The Parametrized Post-Newtonian-Vainshteinian formalism |
| title | The Parametrized Post-Newtonian-Vainshteinian formalism |
| title_full | The Parametrized Post-Newtonian-Vainshteinian formalism |
| title_fullStr | The Parametrized Post-Newtonian-Vainshteinian formalism |
| title_full_unstemmed | The Parametrized Post-Newtonian-Vainshteinian formalism |
| title_short | The Parametrized Post-Newtonian-Vainshteinian formalism |
| title_sort | parametrized post-newtonian-vainshteinian formalism |
| topic | modified gravity gravity |
| url | https://eprints.nottingham.ac.uk/42156/ https://eprints.nottingham.ac.uk/42156/ https://eprints.nottingham.ac.uk/42156/ |