Analyzing the radial geodesics of the Campanelli–Lousto solutions

  • J. B. Formiga
Research Article


When dealing with a spacetime, one usually searches for singularities, black holes, white holes and wormholes due to their importance to the motion of particles. There is a family of solution of the Brans–Dicke vacuum equations that has not been fully studied from this perspective. In this paper, I study some properties of this family and find the complete set of solutions that avoids singularity at the point where the metric diverges or degenerates. The possible changes in the metric signature when passing through this point is analyzed. In addition, I also study the radial geodesics and obtain the solutions of some particular cases.


Brans–Dicke theory Wormholes Singularities 


  1. 1.
    Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)MATHMathSciNetCrossRefADSGoogle Scholar
  2. 2.
    Faraoni, V., Capozziello, S.: Beyond Einstein Gravity. Springer Science+Business Media, Berlin (2011)MATHCrossRefGoogle Scholar
  3. 3.
    Will, C.: Space Sci. Rev. 148, 3 (2009)CrossRefADSGoogle Scholar
  4. 4.
    Banerjee, N., Pavón, D.: Phys. Rev. D 63, 043504 (2001)CrossRefADSGoogle Scholar
  5. 5.
    Sen, A.A., Sen, S., Sethi, S.: Phys. Rev. D 63, 107501 (2001)CrossRefADSGoogle Scholar
  6. 6.
    La, D., Steinhardt, P.J.: Phys. Rev. Lett. 62, 376 (1989)CrossRefADSGoogle Scholar
  7. 7.
    Campanelli, M., Lousto, C.: Int. J. Mod. Phys. D 02, 451 (1993)MathSciNetCrossRefADSGoogle Scholar
  8. 8.
    Bhadra, A., Sarkar, K.: Gen. Relativ. Gravit. 37, 2189 (2005)MATHMathSciNetCrossRefADSGoogle Scholar
  9. 9.
    Vanzo, L., Zerbini, S., Faraoni, V.: Phys. Rev. D 86, 084031 (2012)CrossRefADSGoogle Scholar
  10. 10.
    Formiga, J.B.: Phys. Rev. D 83, 087502 (2011)CrossRefADSGoogle Scholar
  11. 11.
    Formiga, J.B., Almeida, T.S.: Int. J. Mod. Phys. D 23, 1450086 (2014). doi: 10.1142/S0218271814500862 CrossRefADSGoogle Scholar
  12. 12.
    Hochberg, D., Visser, M.: Phys. Rev. D 56, 4745 (1997)MathSciNetCrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Centro de Ciências da Natureza, Universidade Estadual do PiauíTeresinaBrazil

Personalised recommendations