Vacuum degeneracy in Massive gravity=Multiplicity of fundamental scales

Abstract

The presence of Nambu-Goldstone bosons introduce a natural degeneracy inside the vacuum solutions of the non-linear formulations of massive gravity in the same spirit of the $\sigma$-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 each other through the broken generators of the theory.

Published version

References in corpus (8)

• Resummation of Massive Gravity
• Infrared-modified gravities and massive gravitons
• Hairy black holes in theories with massive gravitons
• The Komar mass function in the de-Rham-Gabadadze-Tolley non-linear theory of massive gravity
• The graviton Higgs mechanism
• Energy in ghost-free massive gravity theory
• Non linear massive gravity as a gravitational $\sigma$-model
• De Sitter vacua in ghost-free massive gravity theory

Cited by in corpus (3)

• Decaying dark energy in light of the latest cosmological dataset
• The dynamical origin of the graviton mass in the non-linear theory of massive gravity
• Massive spin zero fields in cosmology and the tail-free property