Abstract
We construct spherically symmetric thin-shell wormholes supported by a generalized Chaplygin gas in Born–Infeld electrodynamics coupled to Einstein gravity, and we analyze their stability under radial perturbations. For different values of the Born–Infeld parameter and the charge, we compare the results with those obtained in a previous work for Maxwell electrodynamics. The stability region in the parameter space reduces and then disappears as the value of the Born–Infeld parameter is modified in the sense of a larger departure from Maxwell theory.
Similar content being viewed by others
References
M.S. Morris, K.S. Thorne, Am. J. Phys. 56, 395 (1988)
M. Visser, Lorentzian Wormholes (AIP Press, New York, 1996)
D. Hochberg, M. Visser, Phys. Rev. D 56, 4745 (1997)
D. Hochberg, M. Visser, Phys. Rev. Lett. 81, 746 (1998)
D. Hochberg, M. Visser, Phys. Rev. D 58, 044021 (1998)
M. Visser, S. Kar, N. Dadhich, Phys. Rev. Lett. 90, 201102 (2003)
O.B. Zaslavskii, Phys. Rev. D 76, 044017 (2007)
E. Poisson, M. Visser, Phys. Rev. D 52, 7318 (1995)
M. Ishak, K. Lake, Phys. Rev. D 65, 044011 (2002)
E.F. Eiroa, G.E. Romero, Gen. Relativ. Gravit. 36, 651 (2004)
F.S.N. Lobo, P. Crawford, Class. Quantum Gravity 21, 391 (2004)
E.F. Eiroa, Phys. Rev. D 78, 024018 (2008)
N. Montelongo Garcia, F.S.N. Lobo, M. Visser, Phys. Rev. D 86, 044026 (2012)
G.A.S. Dias, J.P.S. Lemos, Phys. Rev. D 82, 084023 (2010)
J.P.S. Lemos, F.S.N. Lobo, Phys. Rev. D 78, 044030 (2008)
E.F. Eiroa, C. Simeone, Phys. Rev. D 81, 084022 (2010)
M. Born, L. Infeld, Proc. R. Soc. A 144, 425 (1934)
B. Hoffmann, Phys. Rev. 47, 877 (1935)
E.S. Fradkin, A.A. Tseytlin, Phys. Lett. B 163, 123 (1985)
E. Bergshoeff, E. Sezgin, C.N. Pope, P.K. Townsend, Phys. Lett. B 188, 70 (1987)
R.R. Metsaev, M.A. Rahmanov, A.A. Tseytlin, Phys. Lett. B 193, 207 (1987)
A.A. Tseytlin, Nucl. Phys. B 501, 41 (1997)
D. Brecher, M.J. Perry, Nucl. Phys. B 527, 121 (1998)
G.W. Gibbons, D.A. Rasheed, Nucl. Phys. B 454, 185 (1995)
N. Bretón, Class. Quantum Gravity 19, 601 (2002)
M.G. Richarte, C. Simeone, Phys. Rev. D 80, 104033 (2009)
M.G. Richarte, C. Simeone, Phys. Rev. D 81, 109903(E) (2010)
E.F. Eiroa, C. Simeone, Phys. Rev. D 83, 104009 (2011)
V. Sahni, A.A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000)
P.J. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003)
T. Padmanabhan, Phys. Rep. 380, 235 (2003)
S. Chaplygin, Sci. Mem. Moscow Univ. Math. Phys. 21, 1 (1904)
H.-S. Tien, J. Aeronaut. Sci. 6, 399 (1939)
T. von Karman, J. Aeronaut. Sci. 8, 337 (1941)
A. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001)
M.C. Bento, O. Bertolami, A.A. Sen, Phys. Rev. D 66, 043507 (2002)
F.S.N. Lobo, Phys. Rev. D 73, 064028 (2006)
E.F. Eiroa, C. Simeone, Phys. Rev. D 76, 024021 (2007)
F. Rahaman, M. Kalam, K.A. Rahman, Mod. Phys. Lett. A 23, 1199 (2008)
V. Gorini, U. Moschella, A.Yu. Kamenshchik, V. Pasquier, A.A. Starobinsky, Phys. Rev. D 78, 064064 (2008)
S. Chakraborty, T. Bandyopadhyay, Int. J. Mod. Phys. D 18, 463 (2009)
M. Jamil, M.U. Farooq, M.A. Rashid, Eur. Phys. J. C 59, 907 (2009)
P.K.F. Kuhfittig, Gen. Relativ. Gravit. 41, 1485 (2009)
V. Gorini, A.Yu. Kamenshchik, U. Moschella, O.F. Piattella, A.A. Starobinsky, Phys. Rev. D 80, 104038 (2009)
A. Mokeeva, V. Popov, arXiv:1205.1542
E.F. Eiroa, Phys. Rev. D 80, 044033 (2009)
C. Bejarano, E.F. Eiroa, Phys. Rev. D 84, 064043 (2011)
G. Darmois, Mémorial des Sciences Mathématiques, Fascicule XXV (Gauthier-Villars, Paris, 1927). Chap. V
W. Israel, Nuovo Cimento B 44, 1 (1966)
W. Israel, Nuovo Cimento B 48, 463(E) (1967)
Acknowledgements
This work has been supported by Universidad de Buenos Aires and CONICET.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eiroa, E.F., Figueroa Aguirre, G. Thin-shell wormholes with a generalized Chaplygin gas in Einstein–Born–Infeld theory. Eur. Phys. J. C 72, 2240 (2012). https://doi.org/10.1140/epjc/s10052-012-2240-6
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-2240-6