Abstract
In this work, we study static spherically symmetric wormhole solutions in f(R) gravity. We explore wormhole solutions for anisotropic and isotropic fluids as well as barotropic equation of state with radial pressure. The behavior of weak and null energy conditions is investigated in each case. It is found that these energy conditions are violated for both the anisotropic and isotropic case but are satisfied for barotropic fluids in particular regions. This confirms the existence of wormholes obeying the energy conditions in these regions.
Similar content being viewed by others
References
Agnese, A.G., La Camera, M.: Phys. Rev. D 51, 2011 (1995)
Allemandi, G., Borowiec, A., Francaviglia, M.: Phys. Rev. D 70, 103503 (2004)
Anchordoqui, S.E., Bergliaffa, P., Torres, D.F.: Phys. Rev. D 55, 5226 (1997)
Bengochea, G.R., Ferraro, R.: Phys. Rev. D 79, 124019 (2009)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Bhattacharya, A., Nigmatzyanov, I., Izmailov, R., Nandi, K.K.: Class. Quantum Gravity 26, 235017 (2009)
Bhawal, B., Kar, S.: Phys. Rev. D 46, 2464 (1992)
Böhmer, C.G., Harko, T., Lobo, F.S.N.: Phys. Rev. D 85, 044033 (2012)
Buchdahl, H.A.: Mon. Not. R. Astron. Soc. 150, 1 (1970)
Capozziello, S., Nojiri, S., Odintsov, S.D., Troisi, A.: Phys. Lett. B 639, 135 (2006)
Capozziello, S., Cardone, V.F., Salvano, V.: Phys. Rev. D 78, 063504 (2008)
Carroll, S.M., De Felice, A., Duvvuri, V., Easson, D.A., Trodden, M., Turner, M.S.: Phys. Rev. D 71, 063513 (2005)
Chiba, T.: Phys. Lett. B 575, 1 (2003)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Corda, C., Mosquera Cuesta, H.J.: Astropart. Phys. 34, 587 (2011)
Corda, C., Mosquera Cuesta, H.J., Gomez, R.L.: Astropart. Phys. 35, 362 (2012)
DeBenedictis, A., Horvat, D.: Gen. Relativ. Gravit. 44, 2711 (2012)
Dominguez, A.E., Barraco, D.E.: Phys. Rev. D 70, 043505 (2004)
Dotti, G., Oliva, J., Troncoso, R.: Phys. Rev. D 75, 024002 (2007)
Duruisseau, R., et al.: Gen. Relativ. Gravit. 15, 797 (1983)
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007)
Furey, N., DeBenedictis, A.: Class. Quantum Gravity 22, 313 (2005)
Jamil, M., Momeni, D., Myrzakulov, R.: Eur. Phys. J. C 73, 2267 (2013)
Kerner, R.: Gen. Relativ. Gravit. 14, 453 (1982)
Linder, E.V.: Phys. Rev. D 81, 127301 (2010)
Lobo, F.S.N., Oliveira, M.A.: Phys. Rev. D 80, 104012 (2009)
Morris, M.S., Thorne, K.S.: Am. J. Phys. 56, 395 (1988)
Nandi, K.K., Bhattacharjee, B., Alam, S.M.K., Evans, J.: Phys. Rev. D 57, 823 (1998)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011)
Perlmutter, S., et al.: Phys. Rev. Lett. 83, 670 (1999)
Riess, A.G., et al.: Astrophys. J. 560, 49 (2001)
Santos, J., Alcaniz, J.S., Reboucas, M.J., Carvalho, F.C.: Phys. Rev. D 76, 083513 (2007)
Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)
Visser, M.: Lorentzian Wormholes: From Einstein to Hawking. AIP, New York (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharif, M., Zahra, Z. Static wormhole solutions in f(R) gravity. Astrophys Space Sci 348, 275–282 (2013). https://doi.org/10.1007/s10509-013-1545-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1545-8