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Shape dependence of Vainshtein screening

Bloomfield, Jolyon K.; Burrage, Clare; Davis, Anne-Christine


Jolyon K. Bloomfield

Anne-Christine Davis


Scalar field theories that possess a Vainshtein mechanism are able to dynamically suppress the associated fifth forces in the presence of massive sources through derivative nonlinearities. The resulting equations of motion for the scalar are highly nonlinear, and therefore very few analytic solutions are known. Here, we present a brief investigation of the structure of Vainshtein screening in symmetrical configurations, focusing in particular on the spherical, cylindrical and planar solutions that are relevant for observations of the cosmic web. We consider Vainshtein screening in both the Galileon model, where the nonlinear terms involve second derivatives of the scalar, and a k-essence theory, where the nonlinear terms involve only first derivatives of the scalar. We find that screening, and consequently the suppression of the scalar force, is most efficient around spherical sources, weaker around cylindrical sources and can be absent altogether around planar sources.


Bloomfield, J. K., Burrage, C., & Davis, A. (2015). Shape dependence of Vainshtein screening. Physical Review D, D91(8), Article 083510.

Journal Article Type Article
Acceptance Date Apr 7, 2015
Publication Date Apr 7, 2015
Deposit Date Apr 20, 2017
Publicly Available Date Apr 20, 2017
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume D91
Issue 8
Article Number 083510
Public URL
Publisher URL


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