Cosmology from a gauge induced gravity

  • F. T. Falciano
  • G. Sadovski
  • R. F. Sobreiro
  • A. A. Tomaz
Research Article


The main goal of the present work is to analyze the cosmological scenario of the induced gravity theory developed in previous works. Such a theory consists on a Yang–Mills theory in a four-dimensional Euclidian spacetime with \({ SO}(m,n)\) such that \(m+n=5\) and \(m\in \{0,1,2\}\) as its gauge group. This theory undergoes a dynamical gauge symmetry breaking via an Inönü–Wigner contraction in its infrared sector. As a consequence, the \({ SO}(m,n)\) algebra is deformed into a Lorentz algebra with the emergency of the local Lorentz symmetries and the gauge fields being identified with a vierbein and a spin connection. As a result, gravity is described as an effective Einstein–Cartan-like theory with ultraviolet correction terms and a propagating torsion field. We show that the cosmological model associated with this effective theory has three different regimes. In particular, the high curvature regime presents a de Sitter phase which tends towards a \(\Lambda \)CDM model. We argue that \({ SO}(m,n)\) induced gravities are promising effective theories to describe the early phase of the universe.


Yang–Mills Induced gravity Cosmology 



The Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq - Brazil), the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and the Pró-Reitoria de Pesquisa, Pós-Graduação e Inovação (PROPPI-UFF) are acknowledge for financial support.


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Authors and Affiliations

  1. 1.CBPF - Centro Brasileiro de Pesquisas FísicasRio de JaneiroBrazil
  2. 2.Instituto de FísicaUFF - Universidade Federal FluminenseNiteróiBrazil

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