A Caltech Library Service

Equivalence principle violation in Vainshtein screened two-body systems

Hiramatsu, Takashi and Hu, Wayne and Koyama, Kazuya and Schmidt, Fabian (2013) Equivalence principle violation in Vainshtein screened two-body systems. Physical Review D, 87 (6). Art. No. 063525. ISSN 2470-0010. doi:10.1103/PhysRevD.87.063525.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


In massive gravity, galileon, and braneworld explanations of cosmic acceleration, force modifications are screened by nonlinear derivative self-interactions of the scalar field mediating that force. Interactions between the field of a central body (“A”) and an orbiting body (“B”) imply that body B does not move as a test body in the field of body A if the orbit is smaller than the Vainshtein radius of body B. We find through numerical solutions of the joint field at the position of B that the A-field Laplacian is nearly perfectly screened by the B self-field, whereas first derivative or net forces are reduced in a manner that scales with the mass ratio of the bodies as (M_B/M_A)^(3/5). The latter causes mass-dependent reductions in the universal perihelion precession rate due to the fifth force, with deviations for the Earth-Moon system at the ∼4% level. In spite of universal coupling, which preserves the microscopic equivalence principle, the motion of macroscopic screened bodies depends on their mass providing in principle a means for testing the Vainshtein mechanism.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:© 2013 American Physical Society. Received 26 September 2012; published 26 March 2013. We thank Alexander Belikov and Y. Suwa for useful discussions. T. H. was supported by JSPS Grant-in-Aid for Young Scientists (B) No. 23740186, partially by JSPS Grant-in-Aid for Scientific Research (A) No. 21244033, and also by MEXT HPCI Strategic Program. W. H. was supported by the U.S. Deptartment of Energy Contract No. DE-FG02-90ER-40560, the Kavli Institute for Cosmological Physics at the University of Chicago through Grants No. NSF PHY-0114422 and No. NSF PHY-0551142 and an endowment from the Kavli Foundation and its founder Fred Kavli, and the David and Lucile Packard Foundation. K. K. was supported by STFC Grant No. ST/H002774/1, the ERC, and the Leverhulme trust. F. S. was supported by the Gordon and Betty Moore Foundation at Caltech. W. H., K. K., and F. S. thank the Aspen Center for Physics where this project was initiated and the organizers of the Ringberg dark energy meeting where it was completed. K. K. thanks the Kavli Institute for Cosmological Physics at the University of Chicago for its hospitality.
Funding AgencyGrant Number
JSPS Grant-in-Aid for Young Scientists (B)23740186
JSPS Grant-in-Aid for Young Scientists (A)21244033
Department of Energy (DOE)DE-FG02-90ER-40560
Kavli FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
STFC (UK)ST/H002774/1
Leverhulme TrustUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:6
Classification Code:PACS: 98.80.-k, 04.50.Kd, 04.80.Cc
Record Number:CaltechAUTHORS:20130426-143157995
Persistent URL:
Official Citation:Equivalence principle violation in Vainshtein screened two-body systems Takashi Hiramatsu, Wayne Hu, Kazuya Koyama, and Fabian Schmidt Published 26 March 2013 (14 pages) 063525
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38139
Deposited By: Ruth Sustaita
Deposited On:26 Apr 2013 21:55
Last Modified:09 Nov 2021 23:33

Repository Staff Only: item control page