Abstract
In this paper, we study static spherically symmetric wormhole solutions in galactic halo region. Two observational results, Navarro–Frenk–White energy density profile in standard cosmological model and the observed flat rotational curves, are used to discuss traversable wormholes supported by galactic halo in modified Gauss–Bonnet gravity. We explore these solutions either by considering a viable \(f(G)\) model to construct shape function or by specifying the shape function to deduce \(f(G)\) model. We explore energy conditions and find physically acceptable wormhole solutions threaded by normal matter for all values of \(r\). Finally, we investigate stability of the resulting wormhole solutions.
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References
Bamba, K., et al.: Eur. Phys. J. C 67, 295 (2010)
Bhawal, B., Kar, S.: Phys. Rev. D 46, 2464 (1992)
Böhmer, C.G., Harko, T., Lobo, F.S.N.: Astropart. Phys. 29, 386 (2008)
Chatterjee, S., Parikh, M.: Class. Quantum Gravity 31, 155007 (2014)
Cognola, G., et al.: Phys. Rev. D 73, 084007 (2006)
Cognola, G., et al.: Astrophys. J. 664, 687 (2007)
De León, J.P.: Gen. Relativ. Gravit. 25, 1123 (1993)
Easson, D.A.: Int. J. Mod. Phys. A 19, 5343 (2005)
Faber, T., Visser, M.: Mon. Not. R. Astron. Soc. 372, 136 (2006)
Fay, S.: Astron. Astrophys. 41, 799 (2004)
Furey, N., DeBenedictis, A.: Class. Quantum Gravity 22, 313 (2005)
García, N.M.: Phys. Rev. D 83, 104032 (2011)
González-Díaz, P.F.: Phys. Rev. Lett. 93, 071301 (2004)
Jungman, G., Kamionkowski, M., Griest, K.: Phys. Rep. 267, 195 (1996)
Kar, S., Sahdev, D.: Phys. Rev. D 52, 2030 (1995)
Li, B., Barrow, J.D., Mota, D.F.: Phys. Rev. D 76, 044027 (2007)
Liu, D., Reboucas, M.J.: Phys. Rev. D 86, 083515 (2012)
Lobo, F.S.N.: Phys. Rev. D 71, 084011 (2005)
Lobo, F.S.N., Oliveira, M.A.: Phys. Rev. D 80, 104012 (2009)
Mehdizadeh, M.R., Zangeneh, M.K., Lobo, F.S.N.: Phys. Rev. D 91, 084004 (2015)
Morris, M.S., Thorne, K.S.: Am. J. Phys. 54, 395 (1988)
Navarro, J.F., Frenk, C.S., White, S.D.M.: Astrophys. J. 462, 563 (1996)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 657, 238 (2007)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 78, 046006 (2008)
Nojiri, S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005)
Nojiri, S., Odintsov, S.D., Gorbunova, O.G.: J. Phys. A, Math. Gen. 39, 6627 (2006)
Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 75, 086002 (2007)
Nukamendi, U., Salgado, M., Sudarsky, D.: Phys. Rev. Lett. 84, 3037 (2000)
Rahaman, F., et al.: Gen. Relativ. Gravit. 44, 905 (2012)
Rahaman, F., et al.: Eur. Phys. J. C 74, 2750 (2014)
Raychaudhuri, A.K.: Theoretical Cosmology. Clarendon, Oxford (1979)
Sadjadi, H.M.: Phys. Scr. 83, 055006 (2011)
Sharif, M., Fatima, H.I.: Astrophys. Space Sci. 353, 259 (2014a)
Sharif, M., Fatima, H.I.: Astrophys. Space Sci. 354, 2124 (2014b)
Sharif, M., Fatima, H.I.: Mod. Phys. Lett. A 30, 1550142 (2015)
Sharif, M., Ikram, A.: Int. J. Mod. Phys. D 24, 1550003 (2015)
Sharif, M., Jawad, A.: Eur. Phys. J. Plus 129, 15 (2014)
Sharif, M., Rani, S.: Gen. Relativ. Gravit. 45, 2389 (2013a)
Sharif, M., Rani, S.: Phys. Rev. D 88, 123501 (2013b)
Sharif, M., Rani, S.: Adv. High Energy Phys. 2014, 691497 (2014a)
Sharif, M., Rani, S.: Eur. Phys. J. Plus 129, 237 (2014b)
Sharif, M., Zahra, Z.: Astrophys. Space Sci. 348, 275 (2013)
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Sharif, M., Ismat Fatima, H. Wormhole solutions for \(f(G)\) gravity in galactic halo region. Astrophys Space Sci 361, 127 (2016). https://doi.org/10.1007/s10509-016-2715-2
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DOI: https://doi.org/10.1007/s10509-016-2715-2