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Vacuum degeneracy in massive gravity: Multiplicity of fundamental scales

Department of Physics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan

E-mail Address: ivanarraut05@gmail.com

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and

Kaddour Chelabi

State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100190, P. R. China

E-mail Address: kaddour.chelabi@itp.ac.cn

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https://doi.org/10.1142/S0217732317501127Cited by:4 (Source: Crossref)

Abstract

The presence of Nambu–Goldstone bosons introduce a natural degeneracy inside the vacuum solutions of the nonlinear formulations of massive gravity in the same spirit of the $σ$ $σ$ -models. When the gravitational effects are taken into account, and the observers are located at any distance with respect to the source, this degeneracy corresponds to a multiplicity (flow) of the fundamental scales of the theory. The different values of the fundamental scales are connected to each other through the broken generators of the theory.

Keywords:

PACS: 03.50.Kk, 11.15.Ex, 14.70.Kv, 11.15.-q

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