Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-06-03
Class.Quant.Grav.26:015010,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 1 figure, minor changes, to appear in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/26/1/015010
We examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the areal radius of their throat and the product of the masses at their asymptotically flat ends. We prove that all these solutions are unstable with respect to linear fluctuations and possess precisely one unstable, exponentially in time growing mode. The associated time scale is shown to be of the order of the wormhole throat divided by the speed of light. The nonlinear evolution is analyzed in a subsequent article.
Gonzalez Jose A.
Guzman Siddharta F.
Sarbach Olivier
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