TY - JOUR

T1 - Suppression of matter couplings with a vector field in generalized Proca theories

AU - Nakamura, Shintaro

AU - Kase, Ryotaro

AU - Tsujikawa, Shinji

N1 - Funding Information:
R. K. is supported by the Grant-in-Aid for Young Scientists B of the JSPS No. 17K14297. S. T. is supported by the Grant-in-Aid for Scientific Research Fund of the JSPS No. 16K05359 and the MEXT KAKENHI Grant-in-Aid for Scientific Research on Innovative Areas “Cosmic Acceleration” (No. 15H05890).
Publisher Copyright:
© 2017 American Physical Society.

PY - 2017/10/15

Y1 - 2017/10/15

N2 - In the context of generalized Proca theories, we derive the profile of a vector field Aμ whose squared AμAμ is coupled to the trace T of matter on a static and spherically symmetric background. The cubic Galileon self-interaction leads to the suppression of a longitudinal vector component due to the operation of the Vainshtein mechanism. For quartic and sixth-order derivative interactions, the solutions consistent with those in the continuous limit of small derivative couplings correspond to the branch with the vanishing longitudinal mode. We compute the corrections to gravitational potentials outside a compact body induced by the vector field in the presence of cubic, quartic, and sixth-order derivative couplings, and show that the models can be consistent with local gravity constraints under mild bounds on the temporal vector component. The quintic vector Galileon does not allow regular solutions of the longitudinal mode for a rapidly decreasing matter density outside the body.

AB - In the context of generalized Proca theories, we derive the profile of a vector field Aμ whose squared AμAμ is coupled to the trace T of matter on a static and spherically symmetric background. The cubic Galileon self-interaction leads to the suppression of a longitudinal vector component due to the operation of the Vainshtein mechanism. For quartic and sixth-order derivative interactions, the solutions consistent with those in the continuous limit of small derivative couplings correspond to the branch with the vanishing longitudinal mode. We compute the corrections to gravitational potentials outside a compact body induced by the vector field in the presence of cubic, quartic, and sixth-order derivative couplings, and show that the models can be consistent with local gravity constraints under mild bounds on the temporal vector component. The quintic vector Galileon does not allow regular solutions of the longitudinal mode for a rapidly decreasing matter density outside the body.

UR - http://www.scopus.com/inward/record.url?scp=85033225742&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85033225742&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.96.084005

DO - 10.1103/PhysRevD.96.084005

M3 - Article

AN - SCOPUS:85033225742

VL - 96

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 8

M1 - 084005

ER -