Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution

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dc.creatorGonzalez, J. A.
dc.creatorGuzman, F. S.
dc.creatorSarbach, O.
dc.date2008-06-09
dc.date2008-11-19
dc.date.accessioned2026-07-07T12:21:47Z
dc.date.available2026-07-07T12:21:47Z
dc.descriptionWe analyze the nonlinear evolution of spherically symmetric wormhole solutions coupled to a massless ghost scalar field using numerical methods. In a previous article we have shown that static wormholes with these properties are unstable with respect to linear perturbations. Here we show that depending on the initial perturbation the wormholes either expand or decay to a Schwarzschild black hole. We estimate the time scale of the expanding solutions and the ones collapsing to a black hole and show that they are consistent in the regime of small perturbations with those predicted from perturbation theory. In the collapsing case, we also present a systematic study of the final black hole horizon and discuss the possibility for a luminous signal to travel from one universe to the other and back before the black hole forms. In the expanding case, the wormholes seem to undergo an exponential expansion, at least during the run time of our simulations.
dc.description16 pages, 15 figures, minor modifications, to appear in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0806.1370
dc.identifierhttp://arxiv.org/abs/0806.1370
dc.identifierClass.Quant.Grav.26:015011,2009
dc.identifierdoi:10.1088/0264-9381/26/1/015011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213445
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleInstability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
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