Screening fifth forces in generalized Proca theories - INSPIRE

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Screening fifth forces in generalized Proca theories

Antonio De Felice
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Lavinia Heisenberg
(
- ETH, Zurich (main)
)
,
Ryotaro Kase
(
- Tokyo U. of Sci.
)
,
Shinji Tsujikawa
(
- Tokyo U. of Sci.
)
,
Ying-li Zhang
(
- NAOC, Beijing and
- Portsmouth U., ICG
)

Jan 31, 2016

17 pages

Published in:

Phys.Rev.D 93 (2016) 10, 104016

Published: May 9, 2016

e-Print:

1602.00371 [gr-qc]

DOI:

10.1103/PhysRevD.93.104016

Report number:

YITP-16-42

View in:

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Abstract: (APS)

For a massive vector field with derivative self-interactions, the breaking of the gauge invariance allows the propagation of a longitudinal mode in addition to the two transverse modes. We consider generalized Proca theories with second-order equations of motion in a curved space-time and study how the longitudinal scalar mode of the vector field gravitates on a spherically symmetric background. We show explicitly that cubic-order self-interactions lead to the suppression of the longitudinal mode through the Vainshtein mechanism. Provided that the dimensionless coupling of the interaction is not negligible, this screening mechanism is sufficiently efficient to give rise to tiny corrections to gravitational potentials consistent with solar-system tests of gravity. We also study the quartic interactions with the presence of nonminimal derivative coupling with the Ricci scalar and find the existence of solutions where the longitudinal mode completely vanishes. Finally, we discuss the case in which the effect of the quartic interactions dominates over the cubic one and show that local gravity constraints can be satisfied under a mild bound on the parameters of the theory.

Note:

20 pages, 3 figures, revised version

field theory: Proca
field theory: vector
gravitation: constraint
gravitation: potential
coupling: derivative
gravitation: local
invariance: gauge
scalar: Ricci
symmetry: rotation
gravitation: screening

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