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We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field.
Relativistic equations for adiabatic, spherically symmetric gravitational collapse
C.W. Misner and D.H. Sharp · 1964
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Ether flow through a drainhole: A particle model in general relativity
H.G. Ellis · 1973
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Scalar-tensor theory and scalar charge
K.A. Bronnikov · 1973
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Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
M.S. Morris and K.S. Thorne · 1988
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Wormholes, time machines, and the weak energy condition
M.S. Morris, K.S. Thorne, and U. Yurtsever · 1988
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R. Courant and D. Hilbert · 1989
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Physical effects in wormholes and time machines
V.P. Frolov and I.D. Novikov · 1990
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Topological censorship
J.L. Friedman, K. Schleich, and D.M. Witt · 1993
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Pulsations of spherically symmetric systems in general relativity
O. Brodbeck, M. Heusler, and N. Straumann · 1996
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Instability of wormholes with a nonminimally coupled scalar field
K.A. Bronnikov and S. Grinyok · 2001
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On a class of stable, traversable Lorentzian wormholes in classical general relativity
C. Armendáriz-Picón · 2002
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Fate of the first traversible wormhole: Black hole collapse or inflationary expansion
Hisa aki Shinkai and Sean A. Hayward · 2002
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Traversable wormholes with arbitrarily small energy condition violations
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Cosmological evolution of a ghost scalar field
S.V. Sushkov and S-W. Kim · 2004
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Wormholes supported by a phantom energy
S.V. Sushkov · 2005
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Phantom energy traversable wormholes
F.S.N. Lobo · 2005
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Stability of phantom wormholes
F.S.N. Lobo · 2005
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Rotating scalar field wormhole
T. Matos and D. Nuñez · 2006
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No realistic wormholes from ghost-free scalar-tensor phantom dark energy
K.A. Bronnikov and A.A. Starobinsky · 2007
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On wormholes and black holes solutions of Einstein gravity coupled to a K-massless scalar field
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Conformal continuations and wormhole instability in scalar-tensor gravity
K.A. Bronnikov and S.V. Grinyok · 2004
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Instability of wormholes supported by a ghost scalar field II: Nonlinear evolution
J. A. González, F. S. Guzmán, and O. Sarbach
Cited in the paper.
J. Estevez Delgado and T. Zannias · 2007
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