2016/03/31 by Ivan Arraut, Kaddour Chelabi
Physics and Astronomy · #Analogy #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #False vacuum #Gravitation #Gravitational collapse #Gravitational field #Massive gravity #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Vacuum state #hep-th
paper · pdf · doi:10.1209/0295-5075/115/31001
published as EPL, 115 (2016) 31001 · Journal (Published) version up to some final edition arrangements, 5 pages, references added, one section added
openalex created_date 2016/06/24 · openalex publication_date 2016/08/01 · arxiv created 2016/09/10 · arxiv updated 2016/09/13 · openalex updated_date 2026/08/05
We show the direct analogy between the ghost-free non-linear formulation of massive gravity and the standard σ -models well understood in the literature. This issue explains why there are two non-trivial family of solutions for the spherically symmetric case inside the non-linear massive gravity formulations with two free parameters α and β . In general, the case β < α 2 has a single physical vacuum state. On the other hand, the case β = α 2 contains a natural vacuum degeneracy. This is in perfect analogy with the σ -model for scalar fields where depending on the values taken by the parameters of the theory the vacuum can be single or degenerate.