TY - GEN
T1 - Cosmological and astrophysical Vainshtein mechanism in bigravity
AU - Aoki, Katsuki
AU - Maeda, Kei Ichi
AU - Tanabe, Makoto
AU - Namba, Ryo
N1 - Funding Information:
This work was supported in part by Grants-in-Aid from the Scientific Research Fund of the Japan Society for the Promotion of Science (Nos. 25400276 and 15J05540).
Publisher Copyright:
Copyright © 2018 by the Editors.All rights reserved.
PY - 2018
Y1 - 2018
N2 - Although the linear massive spin-2 theory is not restored to general relativity (GR) even in a massless limit, Vainshtein proposed the discontinuity can be resolved by taking into account nonlinear interactions. We consider whether the nonlinear ghost-free bigravity theory can be restored to GR both in the cosmological background and in the strong gravitational field based on a spherically symmetric configuration. In the cosmological background, the scalar graviton is stabilized by nonlinear interactions in the early stage of the Universe, thus the bigravity has the GR limit with neither a ghost instability nor a gradient instability. On the other hand, the bigravity cannot describe a static compact object beyond a critical value of gravitational field strength for a parameter space of coupling constants, at which the scalar graviton shows a singular behaviour.
AB - Although the linear massive spin-2 theory is not restored to general relativity (GR) even in a massless limit, Vainshtein proposed the discontinuity can be resolved by taking into account nonlinear interactions. We consider whether the nonlinear ghost-free bigravity theory can be restored to GR both in the cosmological background and in the strong gravitational field based on a spherically symmetric configuration. In the cosmological background, the scalar graviton is stabilized by nonlinear interactions in the early stage of the Universe, thus the bigravity has the GR limit with neither a ghost instability nor a gradient instability. On the other hand, the bigravity cannot describe a static compact object beyond a critical value of gravitational field strength for a parameter space of coupling constants, at which the scalar graviton shows a singular behaviour.
KW - Modified gravity
KW - Screening mechanism
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U2 - 10.1142/9789813226609_0134
DO - 10.1142/9789813226609_0134
M3 - Conference contribution
AN - SCOPUS:85059051419
T3 - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
SP - 1493
EP - 1498
BT - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
A2 - Bianchi, Massimo
A2 - Jantzen, Robert T
A2 - Ruffini, Remo
A2 - Ruffini, Remo
PB - World Scientific Publishing Co. Pte Ltd
T2 - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Y2 - 12 July 2015 through 18 July 2015
ER -