Braneworlds scenarios in a gravity model with higher order spatial three-curvature terms

  • F. S. BemficaEmail author
  • M. Dias
  • M. Gomes
  • J. M. Hoff da Silva
Regular Article - Theoretical Physics


In this work we study a Hořava-like 5-dimensional model in the context of braneworld theory. The equations of motion of such model are obtained and, within the realm of warped geometry, we show that the model is consistent if and only if λ takes its relativistic value 1. Furthermore, we show that the elimination of problematic terms involving the warp factor second order derivatives are eliminated by imposing detailed balance condition in the bulk. Afterwards, Israel’s junction conditions are computed, allowing the attainment of an effective Lagrangian in the visible brane. In particular, we show that the resultant effective Lagrangian in the brane corresponds to a (3+1)-dimensional Hořava-like model with an emergent positive cosmological constant but without detailed balance condition. Now, restoration of detailed balance condition, at this time imposed over the brane, plays an interesting role by fitting accordingly the sign of the arbitrary constant β, insuring a positive brane tension and a real energy for the graviton within its dispersion relation. Also, the brane consistency equations are obtained and, as a result, the model admits positive brane tensions in the compactification scheme if, and only if, β is negative and the detailed balance condition is imposed.


Cosmological Constant Extrinsic Curvature Warp Factor Compactification Scheme Positive Tension 
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This work was partially supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Pesquisas (CNPq).


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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • F. S. Bemfica
    • 1
    • 2
    Email author
  • M. Dias
    • 3
  • M. Gomes
    • 2
  • J. M. Hoff da Silva
    • 4
  1. 1.Escola de Ciências e TecnologiaUniversidade Federal do Rio Grande do NorteNatalBrazil
  2. 2.Instituto de FísicaUniversidade de São PauloSão PauloBrazil
  3. 3.Departamento de Ciências Exatas e da TerraUniversidade Federal de São PauloDiademaBrazil
  4. 4.UNESP—Campus Guaratinguetá—DFQGuaratinguetáBrazil

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