Spherically symmetric thick branes cosmological evolution

  • A. E. Bernardini
  • R. T. Cavalcanti
  • Roldão da Rocha
Research Article

Abstract

Spherically symmetric time-dependent solutions for the 5D system of a scalar field canonically coupled to gravity are obtained and identified as an extension of recent results obtained by Ahmed et al. (JHEP 1404:061. arXiv:1312.3576 [hep-th], 2014). The corresponding cosmology of models with regularized branes generated by such a 5D scalar field scenario is also investigated. It has been shown that the anisotropic evolution of the warp factor and consequently the Hubble like parameter are both driven by the radial coordinate on the brane, which leads to an emergent thick brane-world scenario with spherically symmetric time dependent warp factor. Meanwhile, the separability of variables depending on fifth dimension, \(y\), which is exhibited by the equations of motion, allows one to recover the extra dimensional profiles obtained in Ahmed et al. (2014), namely the extra dimensional part of the scale (warp) factor and the scalar field dependence on \(y\). Therefore, our results are mainly concerned with the time dependence of a spherically symmetric warp factor. Besides evincing possibilities for obtaining asymmetric stable brane-world scenarios, the extra dimensional profiles here obtained can also be reduced to those ones investigated in Ahmed et al. (2014).

Keywords

Brane-world Bianchi cosmology Warp factor Thick branes 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • A. E. Bernardini
    • 1
  • R. T. Cavalcanti
    • 2
  • Roldão da Rocha
    • 3
    • 4
  1. 1.Departamento de FísicaUniversidade Federal de São CarlosSão CarlosBrazil
  2. 2.Centro de Ciências Naturais e HumanasUniversidade Federal do ABCSanto AndréBrazil
  3. 3.Centro de Matemática, Computação e CogniçãoUniversidade Federal do ABCSanto AndréBrazil
  4. 4.International School for Advanced Studies (SISSA)TriesteItaly

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