International Journal of Theoretical Physics

, Volume 55, Issue 2, pp 1211–1221 | Cite as

Spherically Symmetric Solutions of Light Galileon

  • D. Momeni
  • M. J. S. Houndjo
  • E. Güdekli
  • M. E. Rodrigues
  • F. G. Alvarenga
  • R. Myrzakulov
Article

Abstract

We have been studied the model of light Galileon with translational shift symmetry ϕϕ + c. The matter Lagrangian is presented in the form \(\mathcal {L}_{\phi }= -\eta (\partial \phi )^{2}+\beta G^{\mu \nu }\partial _{\mu }\phi \partial _{\nu }\phi \). We have been addressed two issues: the first is that, we have been proven that, this type of Galileons belong to the modified matter-curvature models of gravity in type of \(f(R,R^{\mu \nu }T_{\mu \nu }^{m})\). Secondly, we have been investigated exact solution for spherically symmetric geometries in this model. We have been found an exact solution with singularity at r = 0 in null coordinates. We have been proven that the solution has also a non-divergence current vector norm. This solution can be considered as an special solution which has been investigated in literature before, in which the Galileon’s field is non-static (time dependence). Our scalar-shift symmetrized Galileon has the simple form of ϕ = t, which it is remembered by us dilaton field.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • D. Momeni
    • 1
  • M. J. S. Houndjo
    • 2
    • 3
  • E. Güdekli
    • 4
  • M. E. Rodrigues
    • 5
  • F. G. Alvarenga
    • 6
  • R. Myrzakulov
    • 1
  1. 1.Eurasian International Center for Theoretical Physics and Department of General & Theoretical PhysicsEurasian National UniversityAstanaKazakhstan
  2. 2.Institut de Mathématiques et de Sciences Physiques (IMSP)Porto-NovoBenin
  3. 3.Faculté des Sciences et Techniques de NatitingouUniversité de ParakouParakouBenin
  4. 4.Department of PhysicsIstanbul UniversityIstanbulTurkey
  5. 5.Faculdade de Ciências Exatas e TecnologiaUniversida de Federal do Pará Campus Universitário de AbaetetubaAbaetetubaBrazil
  6. 6.Departamento de Engenharia e Ciências Naturais - CEUNESUniversidade Federal do Esp ́rito SantoSão Mateus/ ESBrazil

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