Abstract
We study the stability of the Vainshtein screening solution of massive gravity/bigravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the Λ2 decoupling limit around a curved spacetime. First we derive a general consequence that any Ricci flat Vainshtein screening solution is unstable when we take into account the excitation of the scalar graviton only. This instability suggests that the nonlinear excitation of the scalar graviton is not sufficient to obtain a successful Vainshtein screening in massive gravity/bigravity. Then to see the role of the excitation of the vector graviton, we study perturbations around the static and spherically symmetric solution obtained in bigravity explicitly. As a result, we find that linear excitations of the vector graviton cannot be helpful and the solution still suffers from a ghost and/or a gradient instability for any parameters of the theory for this background.
| Original language | English |
|---|---|
| Article number | 064054 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 94 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2016 Sep 20 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Vainshtein mechanism in massive gravity nonlinear sigma models. / Aoki, Katsuki; Mizuno, Shuntaro.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 94, No. 6, 064054, 20.09.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Vainshtein mechanism in massive gravity nonlinear sigma models
AU - Aoki, Katsuki
AU - Mizuno, Shuntaro
PY - 2016/9/20
Y1 - 2016/9/20
N2 - We study the stability of the Vainshtein screening solution of massive gravity/bigravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the Λ2 decoupling limit around a curved spacetime. First we derive a general consequence that any Ricci flat Vainshtein screening solution is unstable when we take into account the excitation of the scalar graviton only. This instability suggests that the nonlinear excitation of the scalar graviton is not sufficient to obtain a successful Vainshtein screening in massive gravity/bigravity. Then to see the role of the excitation of the vector graviton, we study perturbations around the static and spherically symmetric solution obtained in bigravity explicitly. As a result, we find that linear excitations of the vector graviton cannot be helpful and the solution still suffers from a ghost and/or a gradient instability for any parameters of the theory for this background.
AB - We study the stability of the Vainshtein screening solution of massive gravity/bigravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the Λ2 decoupling limit around a curved spacetime. First we derive a general consequence that any Ricci flat Vainshtein screening solution is unstable when we take into account the excitation of the scalar graviton only. This instability suggests that the nonlinear excitation of the scalar graviton is not sufficient to obtain a successful Vainshtein screening in massive gravity/bigravity. Then to see the role of the excitation of the vector graviton, we study perturbations around the static and spherically symmetric solution obtained in bigravity explicitly. As a result, we find that linear excitations of the vector graviton cannot be helpful and the solution still suffers from a ghost and/or a gradient instability for any parameters of the theory for this background.
UR - http://www.scopus.com/inward/record.url?scp=84990848205&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84990848205&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.94.064054
DO - 10.1103/PhysRevD.94.064054
M3 - Article
AN - SCOPUS:84990848205
VL - 94
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 6
M1 - 064054
ER -